What does sin 4x equal to?

Trig identities $\sin(4x) = 4 \sin(x) \cos(x) \cos(2x)$ – Mathematics Stack Exchange.

Is sin 4x the same as 4 sin x?

sin4x=2sin2xcos2x=2⋅2sinxcosx⋅cos2x=4sinxcosxcos2x .

What is the expansion of sin3x?

sin 3x is used to determine the value of the sine function for an angle that is thrice the measure of the angle x. The formula for the trigonometric function sin 3x is given by, sin 3x = 3 sin x – 4 sin3x.

How can we write sin 4x?

Given expression is \[\sin 4x\], this can be rewritten as \[\sin 2\left( {2x} \right)\].

What is the expansion of cos3x?

Cos 3x is a triple angle identity in trigonometry. It can be derived using the angle addition identity of the cosine function. The identity of cos 3x is given by cos 3x = 4 cos3x – 3 cos x.

What does sin6x mean?

Factor 2 out of 6x . sin(2(3x)) Apply the sine triple-angle identity. 2(−4sin3(x)+3sin(x))cos(3x) Apply the distributive property.

What is the expansion of sin4x?

This is generally used expansion for sin4x, however to write in terms of pure sinx, one can substitute cosx with √1 −sin2x, although there could be issues regarding choosing appropriate sign based on which quadrant x falls.

How do you raise sin x to the power of 1?

Raise sin ( x) sin ( x) to the power of 1 1. Use the power rule a m a n = a m + n a m a n = a m + n to combine exponents. Add 2 2 and 1 1. Multiply −1 – 1 by 4 4.

How do you find Cos 2 out of 4X 4x?

Factor 2 2 out of 4x 4 x. Apply the sine double – angle identity. Multiply 2 2 by 2 2. Use the double – angle identity to transform cos(2x) cos ( 2 x) to cos2(x)−sin2 (x) cos 2 ( x) – sin 2 ( x). Apply the distributive property.

What is the exact value of sin (0) sin(0)?

The exact value of sin ( 0) sin ( 0) is 0 0. Evaluate the limit of x x by plugging in 0 0 for x x. The expression contains a division by 0 0 The expression is undefined.