Apr 05, 10 · Verify (1tan^2x)/(1cot^2x) = 1sec^2x Answered by a verified Math Tutor or Teacher We use cookies to give you the best possible experience on our website By continuing to use this site you consent to the use of cookies on your device as described in our cookie policy unless you have disabled themMath\int \frac{1\tan^2x}{1\tan^2x} \,dx/math math\int \frac{1\tan^2x}{\sec^2x} \,dx/math math\int \frac{1\tan^2x}{\frac{1}{\cos^2x}} \,dx/math math$$ \tan^2x \sec^2x $$ 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 Answer
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5.25064634-This problem has been solved!Jan 08, 18 · 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
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Adal2762 adal2762 05/29/19 Mathematics Middle School answered True or false the equation tan^2x1=sec^2x 1 See answer adal2762 is waiting for your help Add your answer and earn points kudzordzifrancis kudzordzifrancisLegend x and y are independent variables, ;Jul 29, 18 · The trigonometrical identity says 1tan^2x = sec^2 x that means sec^2 x tan^2 x = 1 However in our question, its tan^2 x sec^2 x or say sec^2 x tan^2 x = 1 which is completely against the identity Hense answer is False
See the answer How do you solve this integral of 3 sec(2x1)tan(2x1)?Prove 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(sec^2x csc^2x)(tan^2x cot^2x) Found 2 solutions by ewatrrr, MathLover1 You can put this solution on YOUR website!
The derivative of a constant term is 0 The derivative of a x n is n a x n − 1 \sec (2x^ {1}1)\tan (2x^ {1}1)\times 2x^ {11} sec ( 2 x 1 − 1) tan ( 2 x 1 − 1) × 2 x 1 − 1 Simplify Simplify 2\sec (2x^ {1}1)\tan (2x^ {1}1) 2 sec ( 2 x 1 − 1) tan ( 2 x 1 − 1) For any term t, t^ {1}=tFree integral calculator solve indefinite, definite and multiple integrals with all the steps Type in any integral to get the solution, steps and graphMay 29, 19 · True or false the equation tan^2x1=sec^2x Get the answers you need, now!
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D is the differential operator, int is the integration operator, C is the constant of integration Identities tan x = sin x/cos x equation 1 cot x = cos x/sin x equation 2 sec x = 1/cos x equation 3 csc x = 1/sin x equation 4The derivative of sec ( u 1) sec ( u 1) with respect to u 1 u 1 is sec ( u 1) tan ( u 1) sec ( u 1) tan ( u 1) Replace all occurrences of u 1 u 1 with 2 x 2 x Differentiate Tap for more steps Since 2 2 is constant with respect to x x, the derivative of 2 x 2 x with respect to x x is 2 d d x x 2 d d x xDec 21, · Functions involving trigonometric functions are useful as they are good at describing periodic behavior This section describes several techniques for finding antiderivatives of
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Tanx = t Sec^2 x dx= dt So now it is, 1/ (1t)^2 dt This integral is given by 1/1t and t= tanx So, it is cosx/cosx sinx tanx = t Sec^2 x dx= dt So now it is, 1/ (1t)^2 dt This integral is given by 1/1t and t= tanx So, it is cosx/cosx sinx Integral of the function \frac {\cos ^2 x} {1\tan x}Get an answer for 'solve tan^2xsecx =1 in the range 0°≤x≤ 360°' and find homework help for other Math questions at eNotesFree trigonometric identities list trigonometric identities by request stepbystep
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Tan^2xsec^2x/1tan^6x Ask questions, doubts, problems and we will help youQuestion How Do You Solve This Integral Of 3 Sec(2x1)tan(2x1)?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 becomes
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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 moreSimplify and write the trigonometric expression in terms of sine and cosine (2tan^2x / sec^2x) 1 = (f (x))^2Calculus 2, integral of (1tan^2x)/sec^2x, integral of cos(2x)
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Mar 13, 10 · Get an answer for 'verify (1 tan^2x)/(tan^2x) = csc^2x' and find homework help for other Math questions at eNotesFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorAn expansion of Pythagoras' Identity
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A follow up proof to accompany sin^2 cos^2 =1 Another identity that is used quite a bit, especially in calculus involving trigonometric functionsAug , · So, I figured out that $$\int\tan^2xdx =\int(\sec^2x1)dx=\tan xxC$$ I'm trying to adapt this so I can also evaluate $\int\tan^4x$ Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build theirAbout 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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\left(\sec(2x^{1})\right)^{2}\times 2x^{11} The derivative of a polynomial is the sum of the derivatives of its terms The derivative of a constant term is 0Feb 12, · 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 Let tan x = tan y tan 2x = tan 2y Also, tan 2x = 0 From (1) and (2) tan 2y = 0 We find solutions for tan 2x = 0 & tan 2xWe get (tan(x))2 1 = (sec(x))2 1 = (sec(x))2 (tan(x))2 Now, we will see if 1 = (sec(x))2 (tan(x))2and 1 = (sec(x))2 (tan(x))2 can both be true We can do this by assuming that they are both true, and then add the equations to get 2 = 2(sec(x))2 1=(sec(x))2
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Expert Answer Previous question Next questionIntegration of tan^2x sec^2x/ 1tan^6x dx Ask questions, doubts, problems and we will help youFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutor
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Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorMay 07, 15 · Well, if we divide (cos(x))2 on both sides;Hi 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 Answer by MathLover1() (Show Source) You can put this solution on
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Prove that tan^2x sec^2x=1 Answers 3 Get Answers answered Guest answer b stepbystep explanation x2 = 16 x can not be a negative number because 16 is positiveSep 19, 14 · 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 $t$, butTan(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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Jan 13, 13 · 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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