Question

if sec theta = 2/root 3 then find the value of cos theta and sin theta​

Answer 1

Answer:

I hope my answer will help you.

Answer 2

$\displaystyle \bf cos \: \theta = \frac{ \sqrt{3} }{2} \: \: and \: \: sin \: \theta = \frac{ 1 }{2}$

Given :

$\displaystyle \sf sec \: \theta = \frac{ 2 }{ \sqrt{3} }$

To find :

The value of cosθ and sinθ

Solution :

Step 1 of 2 :

Find the value of θ

$\displaystyle \sf sec \: \theta = \frac{ 2 }{ \sqrt{3} }$

$\displaystyle \sf{ \implies }sec \: \theta = sec \: {30}^{ \circ}$

$\displaystyle \sf{ \implies } \theta = {30}^{ \circ}$

The value of θ = 30°

Step 2 of 2 :

Find the value of cosθ and sinθ

$\displaystyle \sf cos \: \theta = cos \: {30}^{ \circ} = \frac{ \sqrt{3} }{2}$

$\displaystyle \sf sin \: \theta = sin \: {30}^{ \circ}= \frac{ 1 }{2}$

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