Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

To express cos (4A) in terms of sin (A), we can use the trigonometric identity cos (2θ) = 1 - 2sin² (θ). Let's substitute θ with 2A: To express cos(4A) in terms of sin(A), we start by using the identity cos(2A) = 1 −2sin2(A) and the double angle formula for sine.

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cos 4 A − sin 4 A is equal to 2 cos2 A − 1. Explanation: The given expression is cos 4 A − sin 4 A. Factorising the given expression, we have. cos 4 A − sin 4 A = [ (cos 2 A) 2 − (sin 2 A) 2] = (cos 2 A + sin 2 A) × (cos 2 A − sin 2 A) ... [∵ (a 2 − b 2) = (a + b) (a − b)] = cos 2 A − sin 2 A ... [∵ sin 2 A + cos 2 A = 1] = cos 2 A − (1 − sin 2 A)

Jun 1, 2020 · $\cos4a=\cos2.2a=2\cos^22a-1$ $\cos2a=2\cos^2a-1$ $\Rightarrow \cos4a=2(2\cos^2a-1)^2-1$ $=2(4\cos^4a-4\cos^2a+1)-1$ $=8\cos^4a-8\cos^2a+1$

\int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx \sum_{n=0}^{\infty}\frac{3}{2^n} Show More

cos 4A = cos (2 ∙ 2A) = 2 cos2 (2A) - 1. ⇒ cos 4A = 2(2 cos 2A - 1)2 - 1. ⇒ cos 4A = 2(4 cos4 A - 4 cos2 A + 1) - 1. ⇒ cos 4A = 8 cos4 A – 8 cos2 A + 1

Use the Double Angle identity: sin (2 x) = 2 sin (x) cos (x) = 1 − 2 (2 sin (a) cos (a)) 2