Is 45-25sin(-120pit)=45+25sin(120pit) ?

The answer to whether 45-25sin(-120pit)=45+25sin(120pit) is True

Popular >

prove 45-25sin(-120pit)=45+25sin(120pit)

prove

45 - 25 sin (- 120 π t) = 45 + 25 sin (120 π t)

True

Solution steps

45 - 25 sin (- 120 π t) = 45 + 25 sin (120 π t)

Manipulating left side

45 - 25 sin (- 120 π t)

Use the negative angle identity:

sin (- x) = - sin (x)

= 45 - 25 (- sin (120 π t))

Simplify

= 45 + 25 sin (120 t π)

= 45 + 25 sin (120 π t)

We showed that the two sides could take the same form

\Rightarrow True

\frac{cot ^{2} ( x ) - 1}{cot ^{2} ( x ) + 1} = cos (2 x)

cos^{2} (x) - sin^{2} (y) = 1 - 2 sin^{2} (y)

sin (x) + \frac{cos ^{2} ( x )}{sin ( x )} = csc (x)

\frac{cos ( x ) + 1}{sin ( x ) + tan ( x )} = cot (x)

sin (3 x) + sin (x) = 2 sin (2 x) cos (x)

Is 45-25sin(-120pit)=45+25sin(120pit) ?
The answer to whether 45-25sin(-120pit)=45+25sin(120pit) is True