Question

PLEASE ANSWER, HURRRRRYYY!!!

Answer 1

D

Explanation:

Recall that:

`\displaystyle \cos\theta = (1)/(\sec\theta)`

Since we are given that secθ = -7.3, then by definition:

`\displaystyle \cos\theta = (1)/((-7.3))\approx -0.14`

Next, recall that:

`\displaystyle \sin\left ((\pi)/(2) - \theta \right) = \cos\theta`

This is the co-function identity.

And since sine is an odd function:

`\sin u = -\sin (-u)`

In other words:

`\displaystyle \sin\left ((\pi)/(2) - \theta \right) = -\sin\left(\theta - (\pi)/(2)\right)= \cos\theta`

Therefore:

`\displaystyle \sin\left(\theta - (\pi)/(2)\right) = -\cos\theta = -(-0.14) = 0.14`

Hence, our answer is D.