Question

if tan α=24/7 find the value of sin α+cos α

Answer 1

Answer:

31/7

Step-by-step explanation:

tan a =24/7 = height/base

(hypotenuse)^2=(height)^2+(base)^2

(hypotenuse)^2=(24)^2+(7)^2

(hypotenuse)^2=576+49

(hypotenuse)^2=625

hypotenuse=√625

hypotenuse=25

sin a= height/hypotenuse =24/25

cos a= base/hypotenuse =7/25

sin a+ cos a=24/25+7/25

=24+7/25

=31/7