Question

if sin alpha = cos theta then find the value of alpha + theta​

Answer 1

Step-by-step explanation:

sin&= cos∅

sin&= sin(90-∅)

&= 90-∅

&+∅=90

#666

Answer 2

If sinα = cosθ , then find the value of (θ + α).

Trigonometric Co-function identities

• sin(90° - x) = cos x
• sin(90° - x) = sin x
• tan(90° - x) = cot x
• cot(90° - x) = tan x
• sec(90° - x) = cosec x
• cosec(90° - x) = sec x

here, sinα = cosθ

from above trigonometric identities,

we can use, cosθ = sin(90 - θ)

⇒sinα = sin(90 - θ)

⇒α = 90° - θ

⇒α + θ = 90°

Therefore the value of (α + θ) = 90°