Question
Asked Feb 21, 2020
79 views

Use the given conditions.

sin(u) =5/13, pi/2< u < π
(b) Find the exact values of 
sin(u/2), cos(u/2), and tan(u/2) using the half-angle formulas.
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Expert Answer

Step 1

The given trigonometric value is

Calculus homework question answer, step 1, image 1

Step 2

To find the value of following using half-angle formulas.

Calculus homework question answer, step 2, image 1

Step 3

Since “u” lies in 1st quadrant, therefore sine trigonometric function will give positive value, while cosine and tangent trigonometric function will give a negative value.

Therefore, from (1)

Calculus homework question answer, step 3, image 1

 

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