Question

If sin θ = 8/17, find other trigonometric ratios of <θ.

Answer 1

Answer:

OPP=8

HYP=17

SO BY PYTHAGORAS THEOREM

HYP^2=OPP^2+ADJ^2

17^2=8^2+ADJ^2≈

324=64+ADJ^2

ADJ^2= 289-64

ADJ^2=225

ADJ=15

SO

SIN=8/17{GIVEN}

COS=15/17

TAN=8/15

COT=15/8

COSEC= 17/8

SEC=17/15

I HOPE THIS HELPS U

PLSS MARK ME THE BRAINLIEST

Answer 2

$\huge \boxed{ \underline{ \underline{ \bf{Answer}}}}$

TRIGONOMETRY !

TO FIND :- Other trigonometric ratios.

Sin θ = 8/17

Sin = opposite / hypotenuse

USING PYTHAGORAS !

AC² = AB² + BC²

17² = AB² + 8²

AB² = 17² - 8²

AB² = 289 - 64

AB² = √225

AB = 15

When we considered the t-ratios of ∠BAC = θ , WE HAVE :-

Base = BC = 8

Perpendicular = AB = 15

And Hypotenuse = AC = 17.

Therefore, Sin θ = 8/17

Cos θ = 15/17

Tan θ = 8/15

Cosec θ = 17/8

Sec θ =17/15

Cot θ = 15/8