Simplifying the given expression:
Cos²(π/2+a) + cos²(π-a)
Using trigonometric identities:
cos(π/2 + a) = sin(a)cos(π - a) = -cos(a)
Therefore, the expression becomes:
(sin(a))² + (-cos(a))²= sin²(a) + cos²(a)= 1
Therefore, the final simplified form of the given expression is 1.
Simplifying the given expression:
Cos²(π/2+a) + cos²(π-a)
Using trigonometric identities:
cos(π/2 + a) = sin(a)
cos(π - a) = -cos(a)
Therefore, the expression becomes:
(sin(a))² + (-cos(a))²
= sin²(a) + cos²(a)
= 1
Therefore, the final simplified form of the given expression is 1.