form a right-angled triangle in the first quadrant with the angle at the origin equal to Ɵ the opposite equal to 3 and the hypotenuse equal to 5
You should recognize the 3,4, 5 right-angled triangle
so cosƟ = 4/5
sin2Ɵ = 2sinƟcosƟ
= 2(3/5)(4/5)
= 24/25
check
if sinƟ = 3/5 then Ɵ = 36.8699
2Ɵ = 73.7398
sin 73.7398 = .96
and 24/25 = .96
Can someone help me with this prolem please?
Use the information given about the angle Ɵ to find the exact value of:
sin 2Ɵ.
1) sinƟ= 3/5, 0 < Ɵ < (π/2)
1 answer
1 answer