Question

if sin alpha = cos beta then what is the value of alpha+beta

Answer 1

Answer:

α + β = 90

Step-by-step explanation:

==: sin α = cos β

==: sin α = sin (90 - β)

==: α = 90 - β

==: α + β = 90

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Answer 2

If sin α = cos β then α + β = 90°

Given :

sin α = cos β

To find :

The value of α + β

Solution :

Step 1 of 2 :

Write down the given equation

The given equation is

sin α = cos β

Step 2 of 2 :

Find the value of α + β

sin α = cos β

⇒ sin α = sin (90° - β)

⇒ α = 90° - β

⇒ α + β = 90°

Hence α + β = 90°

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