Question

Find the value of acute angle ɵ satisfying

√3sin = cos.​

Answer 1

Answer:

$\sqrt{3} sinɵ = cosɵ \\ \frac{sinɵ}{cosɵ} = \frac{1}{ \sqrt{3} } \\ tanɵ = \frac{1}{ \sqrt{3} } tanɵ = tan30 \\ ɵ = 30$

Answer 2

This is your answer

Answer:

$\sqrt{3} \sin( \alpha ) = \cos( \alpha )$

$\sqrt{3} \frac{opposite \: side}{hypotenuse} = \frac{adjacent}{hypotenuse}$

$\sqrt{3} opposite \: side = \frac{adj \: side}{hypotenuse} \times hypot.$

$\sqrt{3} = \frac{adj \: side}{opp \: side}$

$\sqrt{3} = cot \alpha$

$\cot(30) = \cot( \alpha )$

$\alpha = 30$

alternately,

√3 sin a= cos a

sin a / cos a= 1/√3

tan a =1/√3

tan 30 = 1/√3

thus a= 30°