Question

Prove the following identity

Answer 1

This is the answer for the given question. ..

Answer 2

Solution==>>

tan A=4/3

we know that tan = perpendicular/base

(P/B)

so, 4/3=P/B

By Pythagoras Theorem

We know that H²=P²+B²

H=Hypotenuse

B=Base

P=Perpendicular

by substituting the values

H²=(4)²+(3)²

H²=16+9

H²=25

H=√25

H=5

now, we have all values H=5, B=3 and P=4

sinA=P/H=4/5

cosA=B/H=3/5

so, sinA+cosA=

4/5 + 3/5

4+3/5

7/5 ....(Hence,Proved)

Answer...