Question

if sin theta=7/root 85 what is the value of cin theta​

Answer 1

$\textbf{Given:}$

$\mathsf{sin\,\theta=\dfrac{7}{\sqrt{85}}}$

$\textbf{To find:}$

$\mathsf{cos\,\theta\;and\;tan\,\theta}$

$\textbf{Solution:}$

$\textsf{We know that,}$

$\boxed{\mathsf{cos^2A=1-sin^2A}}$

$\mathsf{cos^2\theta=1-sin^2\theta}$

$\mathsf{cos^2\theta=1-\left(\dfrac{7}{\sqrt{85}}\right)^2}$

$\mathsf{cos^2\theta=1-\dfrac{49}{85}}$

$\mathsf{cos^2\theta=\dfrac{85-49}{85}}$

$\mathsf{cos^2\theta=\dfrac{36}{85}}$

$\implies\boxed{\mathsf{cos\theta=\dfrac{6}{\sqrt{85}}}}$

$\mathsf{Also,}$

$\mathsf{tan\theta=\dfrac{sin\theta}{cos\theta}}$

$\mathsf{tan\theta=\dfrac{\dfrac{7}{\sqrt{85}}}{\dfrac{6}{\sqrt{85}}}}$

$\implies\boxed{\mathsf{tan\theta=\dfrac{7}{6}}}$

$\textbf{Find more:}$

1.If 6 tan A -5 = 0 find the value of( 3 Sin A - Cos A) / (5 Cos A + 9 sin A)

https://brainly.in/question/5331430

2.CotA+cosecA=3,then find sinA=?​

https://brainly.in/question/14998903#

3.If 13 sin A= 12 find sec A - tan A

https://brainly.in/question/15409061

Answer 2

Answer:

Step-by-step explanation: