Question

Find the exact value of each of the remaining trigonometric functions of $\theta$. $\sin \theta = \frac{2}{3}$, $\tan \theta < 0$. $\cos \theta = $ (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

          Find the exact value of each of the remaining trigonometric functions of $\theta$.
$\sin \theta = \frac{2}{3}$, $\tan \theta < 0$.
$\cos \theta = $ 
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

$Find the exact value of each of the remaining trigonometric functions of θ. sinθ = (2)/(3), tanθ < 0. cosθ = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)$

Added by Theresa S.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Claire Rochford

Step 1

We know that sin U = tan 0 < 0, which means that both sin U and tan 0 are negative. Since sin U = opposite/hypotenuse and tan 0 = opposite/adjacent, we can draw a right triangle in the third quadrant where both the opposite and adjacent sides are negative. Let's Show more…

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Find the exact value of each of the remaining trigonometric functions of sin U = tan 0 < 0. cos (1) = (Simplify your answer, including any radicals. Use exact values, not decimal approximations for the expression.)