johnreidms johnreidms

25-07-2020
Mathematics

contestada

If angles θ and α are complementary and sin θ = 3/4, what is cos α?

Respuesta :

Hrishii Hrishii

25-07-2020

Answer:

3/4

Step-by-step explanation:

Since, angles θ and α are complementary.

Therefore,

θ + α = 90°

θ = 90° - α

Taking sin both sides.

sin θ = sin (90° - α)

sin θ = cos α (sin (90° - θ) = cos θ)

Since, sin θ = 3/4.....(given)

Hence, cos α = 3/4

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