1 tan 2x sec 2x cos2x Explanation Starting from cos2 x sin2 x 1 Divide both sides by cos2 x to get cos2 x cos2 x sin2 x cos2 x 1 cos2 x which simplifies to 1 tan2 x
Explanation sec2x 2tan2x 1 tan2x sec2x tan2x tan2x 1 tan2x 1 tan2x 1 tan2x and multiplying by cos2x we get cos2x sin2x cos2x cos2x cos2x Trigonometric Identities Math Trig Identities sin x sin x csc x csc x cos x cos x sec x sec x tan x tan x cot x cot x tan x y tan x tan y
1 tan 2x sec 2x cos2x
1 tan 2x sec 2x cos2x
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Solved Evaluate The Following Integral Sec 2x Tan 2x Dx Sec Chegg
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Asked 12 years 10 months ago Modified 8 years 8 months ago Viewed 7k times 3 I need to prove that 1 tan x tan 2x sec 2x 1 tan x tan 2 x sec 2 x I started this by The formula for tan 2x are tan 2x sec 2x 1 tan 2 x sec 2 x 1 tan 2x sin 2x cos 2x tan 2 x sin 2 x cos 2 x tan 2x 1 cot 2x tan 2 x 1 cot 2 x What is the Difference Between tan2x and tan 2x
The solutions tell us to divide both sides by cos 2 so sin 2 cos 2 cos 2 cos 2 1 cos 2 and 1 cos 2 is sec 2 Because sin 2 x cos 2 x 1 we can simplify the numerator of the left hand side meaning that cos 2 x sin 2 x cos 2 x 1 cos 2 x which is sec 2 x the right hand side
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Using tan x frac sin x cos x and the trigonometric identity you will be able to find the desired result 1 tan 2x frac cos 2x sin 2x cos 2x frac 1 cos 2x We have cos2x cos 2 x sin 2 x 1 sin 2 x sin 2 x Because cos 2 x sin 2 x 1 cos 2 x 1 sin 2 x 1 sin 2 x sin 2 x 1 2sin 2 x
1 Answer Shwetank Mauria Nov 24 2016 Please see below Explanation sec2x 1 cos2x sec2x sec2x cos2x sec2x 1 cos2x cos2x 1 tan2x 1 Simplify frac sec x sin 2 x 1 sec x simplify sin 2 x cos 2 x sin 2 x simplify tan 4 x 2 tan 2 x 1 simplify tan 2 x cos 2 x cot 2 x sin 2 x Show
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1 tan 2x sec 2x cos2x - Asked 12 years 10 months ago Modified 8 years 8 months ago Viewed 7k times 3 I need to prove that 1 tan x tan 2x sec 2x 1 tan x tan 2 x sec 2 x I started this by