4Sin(theta) = 2
Sin(Theta) = 2/4 = 1/2 - 0.5
Theta = Sin^(-1) [0.5]
Theta = 30 degrees.
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4 sin(theta) = 2 => sin(theta) = 2/4 = 0.5.
Therefore theta = 30 + k*360 degrees or 150 + k*360 degrees where k is any integer.
4Sin(x)Cos(x) = 2(2Sin(x)Cos(x)) = 2Sin(2x) ( A Trig. identity.
To determine what negative sine squared plus cosine squared is equal to, start with the primary trigonometric identity, which is based on the pythagorean theorem...sin2(theta) + cos2(theta) = 1... and then solve for the question...cos2(theta) = 1 - sin2(theta)2 cos2(theta) = 1 - sin2(theta) + cos2(theta)2 cos2(theta) - 1 = - sin2(theta) + cos2(theta)
-0.5736
(/) = theta sin 2(/) = 2sin(/)cos(/)
Since secant theta is the same as 1 / cosine theta, the answer is any values for which cosine theta is zero, for example, pi/2.