Question

10 theta is equals to 8 by 15 then find the values of the remaining trigonometric theory ​

Answer 1

Answer:

Hey there!

We know that,

tanθ = Opposite side to theta / Adjacent side to theta

tanθ = 15/8

Adjacent side = 8

Opposite side = 15

By Pythagoras theorem,

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

Hypotenuse =√ ( 8² + 15² ) = √ 64 + 225 = √289 = 17

Now, Trigonometry ratios :

cosθ = Adjacent side to theta / Hypotenuse = 8/17

sinθ = Opposite side of theta / Hypotenuse = 15/17

cotθ = 1/tanθ = 1/(15/8) = 8/15

secθ = 1/cosθ = 1/(8/17) = 17/8

cscθ = 1/sinθ = 1/(15/17) = 17/15

∴ The trigonometric ratios , cosθ = 8/17 , sinθ = 15/17 , cotθ = 8/15 , secθ = 17/8 , cosecθ = 17/15

hope it helps

pls mark brainliest tyvm!!!!!