Question

If sin theta is equal to root 3 cos theta find the value of tan theta - 1 by tan theta + 1

Answer 1

Given

Let Theta here be A

SinA=√3CosA

SinA/Cos A=√3

So, tanA=√3

To find

tanA-1/tanA+1

Rationalising

√3-1/√3+1. Putting value of tanA

=(√3-1)²/(√3)²-(1)

=3+1-2√3/3-1

=4-2√3/2

=2(2-√3)/2

=2-√3

Hence, the required Answer is 2-√3

Answer 2

Let Theta here be A

SinA=√3CosA

SinA/Cos A=√3

tanA=√3

tanA-1/tanA+1

√3-1/√3+1. Putting value of tanA

=(√3-1)²/(√3)²-(1)

=3+1-2√3/3-1

=4-2√3/2

=2-√3