Question

Solve

(cos Θ + cos Θ)2 + (cos Θ + cos Θ)2

A. sin2 Θ
B. 4
C. 8cos2Θ
D. cos2 Θ

Answer 1

hello :
note : the question is ' simplify ' on "solve"
(cos Θ + cos Θ)2 + (cos Θ + cos Θ)2=(2cosΘ)² + (2cosΘ)²
= 4cos²Θ + 4cos²Θ = 8cos²Θ.....(answer : C )

Answer 2

Answer: The correct option is (C)
`8\cos^2\theta.`

Step-by-step explanation: We are given to solve the following trigonometric expression :

`E=(\cos\theta+\cos\theta)^2+(\cos\theta+\cos\theta)^2.`

The solution of the above expression is as follows :

`E\\\\=(\cos\theta+\cos\theta)^2+(\cos\theta+\cos\theta)^2\\\\=(2\cos\theta)^2+(2\cos\theta)^2\\\\=4\cos^2\theta+4\cos^2\theta\\\\=8\cos^2\theta.`

Thus, the required solution of the given expression is
`8\cos^2\theta.`

Option (C) is CORRECT.