Answer:
a. 58
b. 35
Step-by-step explanation:
a. Given,
sinθ = cos 32
We know that cos x = sin (90 - x)
⇒ sin θ = sin (90 - 32)
⇒ sin θ = sin 58
⇒ θ = 58
Thus, the value of θ would be 58.
b. Given,
cosθ = sin(θ+20),
sin (90 - θ) = sin (θ + 20)
⇒ 90 - θ = θ + 20
⇒ 90 - 20 = θ + θ
⇒ 70 = 2θ
⇒ θ = 35
Thus, the value of θ would be 35.
