SOLUTION: Use the information given about the angle θ, 0 ≤ θ ≤ 2π, to find the exact value of the indicated trigonometric function.
tan θ =12/5 , π < &#
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Question 848101: Use the information given about the angle θ, 0 ≤ θ ≤ 2π, to find the exact value of the indicated trigonometric function.
tan θ =12/5 , π < θ <3π/2 Find sin θ/2
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Use the information given about the angle θ, 0 ≤ θ ≤ 2π, to find the exact value of the indicated trigonometric function.
tan θ =12/5 , π < θ <3π/2 Find sin θ/2
***
use x for theta
tanx=12/5 (5-12-13 right triangle in quadrant III)
cosx=-5/13
=3/√13=3√13/13
Calculator check:
tanx=12/5
x≈247.38˚ (in Q3)
x/2≈123.69˚
sin(x/2)≈sin(123.69)≈0.832
Exact value=3√13/13≈0.832
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