Question

if tan theeta = 1/ √3,and theeta is an acute angle find the value of sin and cos theeta​

Answer 1

Answer:

$\tan(x) = \frac{1}{ \sqrt{3} }$

and x<90 so

x= 60°

therefore,

$\sin(x) = \sin(30 ) = \frac{1 }{2}$

$\cos(x ) = \cos(30) = \frac{ \sqrt{3} }{2}$

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You Can Also Do it by considering a triangle with two sides 1 and √3 and hence finding the hypotenuse using Pythagoras theorem which u will get √4... _________________________________________

Hope it helps