Question

if theta=60° then 1+tan square theta/2tan theta is equal to​

Answer 1

Answer:

1+tan theta square/2tan theta

1+tan^2 60°/2tan 60°

1+(root3)^2/2×root3

3/2root 3

Hope it helps u❤

Answer 2

Given: theta=60°

To find: 1+tan square theta/2tan theta

Solution:

According to the question, the following equation is given and the value of this equation must be calculated.

$\frac{1 + tan^{2} \theta }{2 tan \theta}$

The value of θ is given in the question and hence, we need to substitute the value of θ in the given equation and calculate its value.

$\frac{1 + tan^{2} 60 }{2 tan 60}$

The value of the tangent of 60 is √3. Thus, tan 60 in the equation must be replaced by √3.

$\frac{1 + (\sqrt{3} )^{2} }{2 \sqrt{3} } = \frac{4}{2 \sqrt{3}}$

            $= \frac{2}{\sqrt{3}}$

The obtained fraction answer must be rationalized because there is a root in the denominator.

$\frac{2}{\sqrt{3}} = \frac{2 \sqrt{3} }{3}$

Therefore, 1+tan square theta/2tan theta is equal to​ (2√3)/3.