Question

Use identities to write the expression as a single function of x or θ cos (θ+pi/2)​

Answer 1

Answer:

cos(θ + π/2) = -sin(θ)

Explanation:

We can use the sum identity for cosine to write:

cos(θ + π/2) = cos(θ) cos(π/2) - sin(θ) sin(π/2)

We know that cos(π/2) = 0 and sin(π/2) = 1,

so we can simplify further:

cos(θ + π/2) = cos(θ)(0) - sin(θ)(1)

cos(θ + π/2) = -sin(θ)

Therefore, the expression cos(θ + π/2) can be written as a single function of θ:

cos(θ + π/2) = -sin(θ)