Question

If tan theta = 21/20 then what is cos theta and sin theta?

Answer 1

$\textbf{Given:}$

$tan\theta=\dfrac{21}{20}$

$\textbf{To find:}$

$\text{ cos\theta and sin\theta }$

$\text{We know that,}$

$\boxed{\bf\,sec^2A=1+tan^2A}$

$sec^2\theta=1+tan^2\theta$

$sec^2\theta=1+\dfrac{441}{400}$

$sec^2\theta=\dfrac{841}{400}$

$\implies\;sec\theta=\dfrac{29}{20}$

$\text{Taking reciprocals,we get}$

$\implies\bf\;cos\theta=\dfrac{20}{29}$

$\bf\;sin^2\theta=1-cos^2\theta$

$sin^2\theta=1-\dfrac{400}{841}$

$sin^2\theta=\dfrac{441}{841}$

$\implies\bf\,sin\theta=\dfrac{21}{29}$

$\therefore\bf\;cos\theta=\dfrac{20}{29}\;\textbf{and}\;sin\theta=\dfrac{21}{29}$

Find more:

If 5 sin theta -12 cos theta =0 then find the value of cosec theta and cot theta . here theta is an acute angle

https://brainly.in/question/2660406

If tan theta +cot theta=4,find value of tan4theta+cot4theta.

https://brainly.in/question/8129767

Answer 2

Answer:

tan Q 21/20 find sec and cos