Question

if 13 sin thita =5, find the value of tan thita and cos thita​

Answer 1

Answer:

Step-by-step explanation:

Given that,

13 sin θ = 5

sin θ = 5/13

By using Pythagoras theorem,

( Hypotenuse side )² = ( Opposite side )² + ( Adjacent side )²

( 13 )² = ( 5 )²+ (Adjacent side )²

169 = 25 + ( Adjacent side )²

169 - 25 = ( Adjacent side )²

( Adjacent side )² = 144

Adjacent side = √144 = 12

∴ cos θ = Adjacent side / Hypotenuse side = 12 / 13

tan θ = Opposite side / Adjacent side = 5 / 12