420,168 views
44 votes
44 votes
Find the exact valueFind sin theta:/2
See picture. Show steps

Find the exact valueFind sin theta:/2 See picture. Show steps-example-1
User Michal Hatak
by
3.0k points

1 Answer

28 votes
28 votes

Answer:

Explanation:

Use the half angle formulas

sin(θ/2) = ±√((1 - cosθ)/2)

sin(θ/2) = ±√((1 - (3/5))/2)

sin(θ/2) = ±√((2/5)/2)

sin(θ/2) = ±√(1/5)

knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.

sin(θ/2) = +√(1/5) = √0.2

User Jcyrss
by
3.1k points