µ • § ¶ ß ‹ › « » < > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö Right side 12tan^2 (x) from the trig identity sec^2x tan^2x = 1 sec^2x tan^2x 2tan^2x = 12tan^2x simp lying this sec^2x tan^2x So right side now matches left side 👍 Evaluate $\displaystyle \int \tan^2x\sec^2x\,dx$ I tried several methods First method was I changed $\tan^2x = \sec^2x1$, and then substitute $\sec x$ to $t$, but
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5.25064634-Free trigonometric identities list trigonometric identities by request stepbystep A few hints 1 sec x = 1/(cos x) 2 (sin x)/(cos x) = tan x That should give you a good start
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For all values of x tan^2xsec^2x=1 true or false?$$ \tan^2x \sec^2x $$ since $\sec ^2x=1\tan ^2 x$ so $$\tan^2x (1\tan ^2x)\implies 1$$ Share Cite Follow answered Jun 5 '13 at 1025 iostream007 iostream007 4,239 3 3 gold badges 19 19 silver badges 40 40 bronze badges $\endgroup$ Add a comment Your AnswerProve that tan^2x sec^2x=1 Answers 3 Get Other questions on the subject Mathematics Mathematics, 14, klandry0 How long would it take to empty a pond that is 60x50x using a 1000 gallon pump Answers 3 continue Mathematics, 1730, iliketurtures In parallelogram abcd the ratio of ab to bcis 5 3 if the
Yes, sec 2 x−1=tan 2 x is an identity sec 2 −1=tan 2 x Let us derive the equation We know the identity sin 2 (x)cos 2 (x)=1 ——(i) Dividing throughout the equation by cos 2 (x) We get sin 2 (x)/cos 2 (x) cos 2 (x)/cos 2 (x) = 1/cos 2 (x) We know that sin 2 (x)/cos 2 (x)= tan 2 (x), and cos 2 (x)/cos 2 (x) = 1 So the equation (i) after substituting becomesTan^2xsec^2x/1tan^6x Ask questions, doubts, problems and we will help you (1tan^2x)cosx=secx sec^2x (1/secx)=secx sec^2x/secx=secx secx=secx Nuevas preguntas de Matemáticas me pueden ayudar por favor yo les daré una estrella un corazónse los suplico una ayudadita por favor ## no sea malo un apoyo por favor Necesito saber la respuesta de la operación 8695 dividido entre 53
I know that and The next step would then be to say that but now what?Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreGet an answer for '(1tanx )^2 (1cotx )^2 = (secxcosecx)^2' and find homework help for other Math questions at eNotes
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=> `1 2*tan^2x` It is seen that `sec^4 x tan^4 x = 1 tan^2 x` is not an identity, instead `sec^4x tan^4x = 1 2*tan^2x` Approved by eNotes Editorial TeamFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorHi Simplifying the following (sec^2x csc^2x) (tan^2x cot^2x) tan^2x = sec^2x 1 cot^2x = csc^2x 1 (sec^2x csc^2x) (sec^2x 1 csc^2x 1)= 2
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Sec^2(2x) = 1 tan (2x) 1 tan^2(2x) = 1 tan(2x) tan^2 (2x) tan (2x) = 0 tan(2x) tan (2x) 1 = 0 either tan (2x) = 0 = tan (0°) 2x = npi 0 or x= npi/2I got $\\ln\\sec(2x 1) \\tan(2x1) \\text C$ as an answer I saw that the integral of $\\sec x$ is $\\ln\\sec x \\tan x \\text C$ But I feel I may have left something out because that was tooA follow up proof to accompany sin^2 cos^2 =1 Another identity that is used quite a bit, especially in calculus involving trigonometric functions
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tan^2xsec^2x=1 true or false?Simplifying the LHS of the equation ,the LHS becomes Simplifying the above equation Using the identity The equation becomes Simplifying the above equation Using the identity mathsin2x=2sinxcosx, /mathsimplifying the above equation Further simpSeparate fractions Rewrite tan(x) tan ( x) in terms of sines and cosines Multiply by the reciprocal of the fraction to divide by sin(x) cos(x) sin ( x) cos ( x) Convert from cos(x) sin(x) cos ( x) sin ( x) to cot(x) cot ( x) Divide sec2(x) sec 2 ( x) by 1 1 Rewrite sec(x) sec (
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The cos2(2x) term is another trigonometric integral with an even power, requiring the powerreducing formula again The cos3(2x) term is a cosine function with an odd power, requiring a substitution as done before We integrate each in turn below ∫cos2(2x) dx = ∫ 1 cos(4x) 2 dx = 1 2 (x 1 4sin(4x)) CSee the answer See the answer See the answer done loadingProve the identity ` ``(tan^2x)/(1tan^2x)=sin^2x ` Note that `tan^2x1=sec^2x=1/(cos^2x) ` and `tan^2x=(sin^2x)/(cos^2x) ` Substituting we get
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Calculus 2, integral of (1tan^2x)/sec^2x, integral of cos(2x)For all values of x Uhm I think false? Check all that apply A tan^2xsec^2x=1 B sin^2xcos^2x=1 C sec^2xtan^2x=1 D sec^2xcsc^2x=1 2 See answers shakerasanchez12 shakerasanchez12 Answer a Stepbystep explanation It was A and D FelisFelis FelisFelis Answer Option (A)
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Integration of tan^2x sec^2x/ 1tan^6x dx Ask questions, doubts, problems and we will help you True Start with the well known pythagorean identity sin^2x cos^2x = 1 This is readily derived directly from the definition of the basic trigonometric functions sin and cos and Pythagoras's Theorem Divide both side by cos^2x and we get sin^2x/cos^2x cos^2x/cos^2x = 1/cos^2x tan^2x 1 = sec^2x tan^2x = sec^2x 1 Confirming that the result is an identity Get an answer for 'verify (1 tan^2x)/(tan^2x) = csc^2x' and find homework help for other Math questions at eNotes
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You could take tan(x) out of the fraction, but I still don't know how to go about simplifying it The book says the answer isIntegral (1 tan^2(x))/sec^2(x)integrating powers of tangent and secantAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How works Test new features Press Copyright Contact us Creators
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Found 2 solutions by ewatrrr, MathLover1 Answer by ewatrrr () ( Show Source ) You can put this solution on YOUR website!Click here👆to get an answer to your question ️ If sec x sec^ 2x = 1 then the value of tan^ 8 tan^ 4 2tan^ 2x 1 will be equal toSec^2x 1 tan^2x sec^2x tan^2x 1 tan^2x sec^2x1 1 sec^2xtan^2x OTHER SETS BY THIS CREATOR Spanish 71 ¿Vives en la ciudad o en el campo?
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If f(2tanx/(1 tan^2x)) = 1/2(1 cos2x)(sec^2x 2tanx) then find f(x) asked in Differential equations by Radhika01 ( 631k points) differential calculusQuestion Simplify and write the trigonometric expression in terms of sine and cosine (2tan^2x / sec^2x) 1 = (f(x))^2 f(x) = This problem has been solved!Tan^2 x1=sec^2x So to get 1 on the other side of the equal sign wouldn't it be sec^2xtan^2x=1?
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Click here👆to get an answer to your question ️ Find the general solution of the equation sec^2 2x = 1 tan 2x Join / Login maths Find the general solution of the equation sec 2 2 x = 1Rewrite sec(x) sec ( x) in terms of sines and cosines Rewrite tan(x) tan ( x) in terms of sines and cosines Multiply by the reciprocal of the fraction to divide by 1 cos(x) 1 cos ( x) Write cos(x) cos ( x) as a fraction with denominator 1 1 Cancel the common factor of cos(x) cos ( x)\sec(2x^{1}1)\tan(2x^{1}1)\frac{\mathrm{d}}{\mathrm{d}x}(2x^{1}1) sec ( 2 x 1 − 1 ) tan ( 2 x 1 − 1 ) d x d ( 2 x 1 − 1 ) The derivative of a polynomial is the sum of the derivatives of its terms
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19 terms JosephAlderson SAT reading vocabulary word dump 24 terms JosephAlderson SAT Essay Vocabulary Dump 16 termsVerify the Identity cot (x)^2 (sec (x)^21)=1 cot2 (x) (sec2 (x) − 1) = 1 cot 2 ( x) ( sec 2 ( x) 1) = 1 Start on the left side cot2(x)(sec2(x)−1) cot 2 ( x) ( sec 2 ( x) 1) Apply pythagorean identity cot2(x)tan2(x) cot 2 ( x) tan 2 ( x) Convert to sines and cosines Tap for more steps Write cot ( x) cot ( x) in sines and cosines Transcript Ex 34, 8 Find the general solution of the equation sec2 2x = 1 – tan 2x sec2 2x = 1 – tan 2x 1 tan2 2x = 1 – tan2x tan2 2x tan2x = 1 – 1 tan2 2x tan2x = 0 tan 2x (tan2x 1) = 0 Hence We know that sec2 x = 1 tan2 x So, sec2 2x = 1 tan2 2x tan 2x = 0 tan 2x 1 = 0 tan 2x = –1 We find general solutions for both separately General solution for tan 2x = 0
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Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreTan(x y) = (tan x tan y) / (1 tan x tan y) sin(2x) = 2 sin x cos x cos(2x) = cos ^2 (x) sin ^2 (x) = 2 cos ^2 (x) 1 = 1 2 sin ^2 (x) tan(2x) = 2 tan(x) / (1
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