Tan2x+1sec2x
Sin(2x) = 2 sin x cos x.
Tan2x+1sec2x. Tan(x y) = (tan x tan y) / (1 tan x tan y). A) 1+tan^2 x=sec^2 x. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
So to get 1 on the other side of the equal sign wouldn't it be sec^2x-tan^2x=1?. Cos(2x) = cos 2 (x) - sin 2 (x) = 2 cos 2 (x) - 1 = 1 - 2 sin 2 (x). 1+(sinx)^2/(cosx)^2 = sec^2 x (cosx)^2/(cosx)^2 + (sinx)^2/(cosx)^2 = sec^2 x ((cosx)^2 + (sinx)^2)/(cosx)^2 = sec^2x.
These can be "trivially" true, like "x = x" or usefully true, such as the Pythagorean Theorem's "a 2 + b 2 = c 2" for right triangles.There are loads of trigonometric identities, but the following are the ones you're most likely to see and use. Another identity that is used quite a bit, especially in calculus involving trigonometric functions.
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