Question

PLEASE solve it quickly.
if cos A = 21/29 , find the value of sin A + tan A

Answer 1

sin2A + Cos2A = 1

sin A = √1- cos2A

sin A = √ 1- (21/29)^2

sin A = ( 29^2 - 21^2 / 29^2 )

sin A = √400 / 29^2

sin A = 400 / 29 = 20 / 29

tan A = sin A / cos A

tan A = 20/29 / 21 /29

tan A = 20/ 21

sin A + tan A = 20/29 + 20/ 21

= 1.64 Ans .