SOLUTION: So, the instructions on the problem say: 'Use the identities to rewrite each expression in terms of a single trigonometric function. Check your result by graphing. {{{ 4sin^2(7t

Question 816020: So, the instructions on the problem say:
'Use the identities to rewrite each expression in terms of a single trigonometric function. Check your result by graphing.

I recognized that it has a similar form to sin2t= 2sintcost but the sin and cos are squared in this problem. What else can I do? Maybe transform the sin^2 or cos^2 to a different identity? Thank you so much, this is such a great site for help.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!

Recognizing that the sin(2x) identity is buried in there is more than half the battle! Very good!

Now we just have to see how we can use it. Yes, the sin and cos in your expression are squared. But isn't 4 also the square of the 2? So isn't your expression just the square of sin(2x)?:

Now we can use the sin(2x) formula with 7t in the place of x:

The argument simplifies:

which can also be written as:

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