Question

if cosec theta =13/12 then what is the value of sin theta and cos theta

Answer 1

Use the formula sin¢=p/h
First of all cosec theta =h/p
So u got the p=13
h=12
Now apply pythogaras theorem
h²= l²+b²
Then u will get b
Apply it on the formula cos theta = b/h
U will get the ans.
Plss mark me as brainliest

Answer 2

Hi...☺

Here is your answer...✌

GIVEN THAT,

$\cosec\theta = \frac{13}{12 }$
Now,
We know that

$\sin\theta = \frac{1}{ \cosec\theta} \\ \\ \sin\theta = \frac{1}{ \frac{13}{12} } = \frac{12}{13}$

And,

$\cos \theta = \sqrt{1 - \sin ^{2} \theta } \\ \\ = \sqrt{1 - ({\frac{12}{13})}^{2} } \\ \\ = \sqrt{1 - \frac{144}{169} } = \sqrt{ \frac{169 - 144}{169} } \\ \\ = \sqrt{ \frac{25}{169} } = \frac{5}{13}$

HENCE,

Sinθ = 12/13

Cosθ = 5/13