Question

Write the acute angle theta satisfying root 3 sin theta is equal to cos theta

Answer 1

Heya,

According to the question,

√3sin theta = cos theta

sin theta/cos theta = 1/√3

tan theta = 1/√3

So,
theta = 30°

Hope this helps....:)

Answer 2

Given,

For an acute angle theta;

√3 sin theta = cos theta

To find,

Value of angle theta.

Solution,

We can simply solve this mathematical problem using the following process:

According to the given question;

√3 sin theta = cos theta

=> sin theta/cos theta = 1/√3

=> tan theta = 1/√3

=> tan theta = tan 30° (Since, as per trigonometry, the value of tan 30° = 1/√3)

=> theta = 30°

Hence, the value of theta is 30°.