Question

Suppose that $\sin\theta = \frac{4}{5}$ and $\frac{\pi}{2} < \theta < \pi$. Find the exact values of $\cos\frac{\theta}{2}$ and $\tan\frac{\theta}{2}$. $\cos\frac{\theta}{2} = \boxed{} \tan\frac{\theta}{2} = \boxed{}$

          Suppose that $\sin\theta = \frac{4}{5}$ and $\frac{\pi}{2} < \theta < \pi$.
Find the exact values of $\cos\frac{\theta}{2}$ and $\tan\frac{\theta}{2}$.
$\cos\frac{\theta}{2} = \boxed{}
\tan\frac{\theta}{2} = \boxed{}$

Suppose that sinθ = (4)/(5) and (π)/(2) < θ < π.
Find the exact values of cos(θ)/(2) and tan(θ)/(2).
cos(θ)/(2) = tan(θ)/(2) =

Added by Joseph G.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Gregory Higby

Step 1

We are given that sin(θ) = 5/2 and 0 < θ < π/2. Since sin(θ) is positive and θ is in the first quadrant, we can use the Pythagorean identity to find the value of cos(θ). Using the Pythagorean identity: sin^2(θ) + cos^2(θ) = 1 (5/2)^2 + cos^2(θ) = 1 25/4 + Show more…

Show all steps