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 👍Click here👆to get an answer to your question ️ Find the general solution of the equation sec^2 2x = 1 tan 2x Join / Login Question Find the general solution of the equation sec 2 2 x = 1 − tan 2 x Easy Open in App Solution Verified by TopprYou can put this solution on YOUR website!

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Tan^2x-1/sec^2x=tanx-cotx/tanx+cotx
Tan^2x-1/sec^2x=tanx-cotx/tanx+cotx-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 to View 2103_jpg from CSC 300 at San Francisco State University tan 60 = y V 3/2 X 1/2 = V3, cot 60 = 1/2 V3 y V 3/2 3 sec 60 1 x 1/2 = 2, CSC 60 = r y = 2V3 V 372 3 Suppose the angle 0




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Giải các bài toán của bạn sử dụng công cụ giải toán miễn phí của chúng tôi với lời giải theo từng bước Công cụ giải toán của chúng tôi hỗ trợ bài toán cơ bản, đại số sơ cấp, đại số, lượng giác, vi tích phân và nhiều hơn nữa tan^2x=(sec^21) 怎么来的? 108;See the answer See the answer See the answer done loading
= 1 1/(cos^2 X) Sin^2 X = 1 Sin^2 X/cos^2 X = 1 tan^2 X =Sec^2 X UpvoteTanx = 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} The identity, as you noted, is tan 2 x 1 = sec 2 x, for all values of x Rearranging, you absolutely get Rearranging, you absolutely get tan 2 x sec 2 x = 1
Solve for x tan (2x)=1 tan (2x) = 1 tan ( 2 x) = 1 Take the inverse tangent of both sides of the equation to extract x x from inside the tangent 2x = arctan(1) 2 x = arctan ( 1) The exact value of arctan(1) arctan ( 1) is π 4 π 4 2x = π 4 2 x = π 4 Divide each term bySec^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/2Found 2 solutions by ewatrrr, MathLover1 Answer by ewatrrr () ( Show Source ) You can put this solution on YOUR website!




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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 taHi 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)= 2An alternative method is to take `sec^2 x ` and replace it by `1/(cos^2 x)` Replace `1/(cos^2 x)` by `1 tan^2 x` (the basic formula of trigonometry `1tan^2 x = 1/(cos^2 x)` )



Solution Verify The Identity By Showing That The Left Equals Right Sec 2x 1 Tan 2 Sec2x Do I Use 1 Cos 2x 1 Tan 2x Or Do I Use 1 Tan 2x 1 Tan 2x Either Way I Do Not Know Where To Go Fro




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Prove the following identities $$(\sec^2 x \tan^2x)(\csc^2 x \cot^2x) = 1 2 \sec^2x \csc^2 x \tag i$$ $$\frac{\cos x}{1\tan x} \frac{\sin x}{1\cot x} = \sin x \cos x \tag {ii}$$ For $(\mathrm i)$ , I initially tried simplifying what was in the 2 brackets but ended up getting 1 1Solve for x tan(2x)1=0 Add to both sides of the equation Take the inverse tangent of both sides of the equation to extract from inside the tangent The exact value of is Divide each term by and simplify Tap for more steps Divide each term in by Cancel the # 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




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The points labelled 1, Sec(θ), Csc(θ) represent the length of the line segment from the origin to that point Sin(θ), Tan(θ), and 1 are the heights to the line starting from the xaxis, while Cos(θ), 1, and Cot(θ) are lengths along the xaxis starting from the origin 1tanx*tan2x = sec 2x LS =1 (sin x/cos x)(sin 2x/ cos 2x) =1 (sin x/cos x)(2sin x* cos x)/ cos 2x) =12sin^2(x)/(cos 2x) ={cos(2x) 2sin^2(x)}/cos (2x)Free trigonometric identities list trigonometric identities by request stepbystep




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Tan(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) / (1Free trigonometric identities list trigonometric identities by request stepbystepRewrite 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)




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