Question

if cosθ=7/25, find the value of sinθ and tan θ​

Answer 1

IF cosø = 7/25

i.e adjacent side/ hypotenuse = 7/25

so,

adjacent side = 7

hypotenuse = 25

Let other side be X

according to Pythagoras theorem ,

(Hypotenuse)²= (adj side)² + ( opp side)²

25²=7²+X²

625=49+X²

X²=625-49

X²=576

X= 24

Opposite side = 24

Now,

sinø= opposite side/ hypotenuse

= 24/25

Sinø= 24/25

Tanø= opposite side /adjacent side

= 24/7

Tanø=24/7