The value of sin2 Θ is in the 4th quadrant is -24/25
Explanation:
Given the expression of cosΘ= 3/5 with Θ in quadrant 4;
According to SOH, CAH TOA;
cosΘ= adjacent/hypotenuse
Get the opposite
5² = opp² + 3²
opp² = 25 - 9
opp² = 16
opp = 4
SinΘ = opp/hyp
SinΘ = 4/5
Sin2Θ = 2sinΘ cosΘ
Sin2Θ = 2(-4/5)(3/5)
Sin2Θ = -24/25
Hence the value of sin2Θ is in the 4th quadrant is -24/25
