Question

Suppose theta represents a number of degrees of rotation and that sin(theta°) = −0.5. List six possible negative values

that theta can take.

Answer 1

Six angle which has the value -0.5 will be

-390 , -750, -1110, -1470, -1830, -2190

Explanation:

We have given that
`sin(\Theta  )=-0.5`

So
`\Theta =sin^(-1)(-0.5)=-30^(\circ)`

Now we have to find the possible negative value of
`\Theta` which has same value as -0.5

We know that after 360° angle will repeat itself

So angle will be -30 - 36 = -390

-390-360 = -750

-750-360 = -1110

-1110-360 = -1470

-1470-360= -1830

-1830-360 = - 2190