Question

What does it mean to use the cosine value of an inverse of tan θ?

I attached the question I'm just confused.
Will it be 60°?

Answer 1

`\boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^( \circ) \\ \displaystyle\sin( {120}^( \circ) ) = ( √(3) )/(2) \end{array}}`

Explanation:

we are given a inverse trig

we want to figure out the value of
`\theta`

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

`\displaystyle \sin( {120}^( \circ) ) = ( √(3) )/(2)`