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cos (2x) = 0 cos ( 2 x) = 0. Take the inverse cosine of both sides of the equation to extract x x from inside the cosine. 2x = arccos(0) 2 x = arccos ( 0) Simplify the right side. Tap for more steps 2x = π 2 2 x = π 2. Divide each term in 2x = π 2 2 x = π 2 by 2 2 and simplify. Integrating Products and Powers of tan x and sec x. Before discussing the integration of products and powers of tanx and secx, it is useful to recall the integrals involving tanx and secx we have already learned: ∫sec2xdx = tanx + C. ∫ sec 2 x d x = tan x + C. ∫secxtanxdx = secx + C. ∫ sec x tan x d x = sec x + C.
Rewrite cos(2x) cos(x) cos ( 2 x) cos ( x) as a product. cos(2x) 1 cos(x) cos ( 2 x) 1 cos ( x) Write cos(2x) cos ( 2 x) as a fraction with denominator 1 1. cos(2x) 1 ⋅ 1 cos(x) cos ( 2 x) 1 ⋅ 1 cos ( x) Simplify. Tap for more steps cos(2x)sec(x) cos ( 2 x) sec ( x) Free math problem solver answers your algebra, geometry, trigonometry
Explanation: Remember the equation cos2x + sin2x = 1? Well the x refers to any number so if your number is 2x, then cos22x + sin22x = 1. You can also prove this by using the double angle formula. cos2(2x) +sin2(2x) = (cos2x −sin2x)2 +(2sinxcosx)2. = cos4x − 2sin2xcos2x + sin4x +4sin2xcos2x. = cos4x + 2sin2xcos2x + sin4x.
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what is 1 cos 2x