Question

2. State two (2) values of θ (theta) to the nearest degree for sin θ = − 0. 966

Answer 1

Using equivalent angles, the solutions to the equation are given as follows:

$\theta = 255^\circ, \theta = 285^\circ$

What are equivalent angles?

Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant.

In this problem, the equation is:

$\sin{\theta} = -0.966$

Applying the inverse relation:

$\theta = \arcsin{-0.966} = 255^\circ$

Which is on the third quadrant. The equivalent angle on the fourth quadrant is given as follows:

$270^\circ + (270^\circ - 255^\circ) = 285^\circ$

More can be learned about equivalent angles at brainly.com/question/28025397

#SPJ1