About Sin Squared x Formula
Sin x whole squared is the same as sin x squared. There are two formulas for sin squared x. One is derived from one of the Pythagorean identities, while the other is derived from the cosine function's double angle formula. The first is used to prove various trigonometric identities, whereas the second is commonly employed to solve integrals.
What is meant by Sin Squared x Formulas?
We have sin2x + cos2x = 1 using one of the trigonometric identities. Sin2x = 1 - cos2x is obtained by subtracting cos2x from both sides. One of the sin squared x formulas is as follows:
Sin2x = 1 - cos2x
Cos 2x = 1 - 2 sin2x is one of the double angle formulas for the cosine function. If we solve for sin2x, we get the following:
sin2x = (1−cos2x)/2
Solved examples of Sin Squared x Formula
Example: Using the sin squared x formula, prove the following trigonometric identity: sin2x - sin4x = cos2x - cos4x.
Sol:
We will use the sin squared x formula, Sin2x = 1 - cos2x to prove this.
sin2x − sin4x = sin2x(1−sin2x) = sin2xcos2x = (1−cos2x)cos2x = cos2x−cos4x
Hence proved.
Check out the list of Maths formulas prepared by the experts of Home tution.com
Find pdf of Sin Squared x Formula
