Question

if cos theta=-29/21 then what is the value of sin theta?
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Answer 1

Answer:

Step-by-step explanation:

If cos theta = 29/21, you get hypotenuse = 21 and adjacent side =29, by Pythagoras theorum you can find the opp side. Sin theta= that opp side/ given hypotenuse

Answer 2

If cos theta= -29/21, then what is the value of sin theta?

Answer :

Step by step explanation :

We know that,

$\tt{sin {}^{2} \theta + cos {}^{2} \theta} = 1$

$\tt{sin {}^{2} \theta + ( - \frac{ 29}{21} ) {}^{2} = 1}$

$\tt{sin {}^{2} \theta + ( \frac{841}{441} ) = 1}$

$\tt{sin {}^{2} \theta = 1 - \frac{841}{441}}$

$\tt{ sin {}^{2} \theta = \frac{441 - 841}{441} }$

$\tt{sin {}^{2} \theta = - \frac{400}{441}}$

$\tt{sin \theta = - \sqrt{ \frac{ 400}{441}} }$

sin theta = -20/21