Question

Let t be an angle in the third quadrant and \\ $\sin(t) = -\frac{5}{8}$. \\ Find the value of a if \\ $\cos(t) = -\frac{\sqrt{a}}{8}$.

          Let t be an angle in the third quadrant and \\
$\sin(t) = -\frac{5}{8}$. \\
Find the value of a if \\
$\cos(t) = -\frac{\sqrt{a}}{8}$.

Let t be an angle in the third quadrant and

sin(t) = -(5)/(8).

Find the value of a if

cos(t) = -(√(a))/(8).

Added by Juan T.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Drew Scalzo

Step 1

We are given that $t$ is an angle in the third quadrant where $\sin(t) = \frac{8}{5}$. However, this is incorrect as the sine function, which represents the ratio of the opposite side to the hypotenuse in a right triangle, cannot be greater than 1. Let's Show more…

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