Question

Evaluate the trigonometric function directly, without first changing to degree measure. tan 0.5936

Answer 1

Given:

`tan\theta=0.5936`

Aim:

We need to find the trigonometric function and the quadrant of the angle.

Step-by-step explanation:

`tan\theta=0.5936`

Take inverse trigonometry on both sides of the equation.

`\theta=tan^(-1)0.5936`

`\theta=30.6934`
`\text{ The angle 30.6934 lies between 0 and }(\pi)/(2).`
`0\text{ to }(\pi)/(2)\text{ refers to the first quadrant.}`

Final answer:

`Since\text{ 0.5963 is between 0 and }(\pi)/(2)\text{ the angle is in quadrant I.}`
`tan30.6934^o=0.5936`

`tan\text{ }0.5936=30.6934^o`