Question

If a and b are acute angles and sina=cosb then find a+b

Answer 1

hi baby

Answer:

Value of A+B=90°

Explanation:

Given A and B are acute angles.

and

SinA = CosB

=> Sin A = Sin(90-B)

=> A = 90°-B

=> A+B = 90°

Therefore,

Value of (A+B) = 90°

••••

hope this helps you

brainliest answer please

follow me on Instagram @ishaagopika

Answer 2

Answer:

The value of a + b = 90º

Step-by-step explanation:

Given,

• a and b are acute angles
• sin(a) = cos(b) -------------(i)

We have to find the value of a+b.

In equation (i),

sin(a) = cos(b) ------------(ii)

By the trigonometric formula,

• $cos\theta=sin(90-\theta)$

Apply the above formula in equation (ii), it becomes-

            sin(a) = sin(90- b)

On comparing the angles of both side,

                a= 90-b

                a + b = 90º