Rewrite the function using the power-reducing formulas.
f(x) = cos2 x

f(x) = cos 2x = 2 cos^2 x - 1

Step-by-step explanation:

Here, we want to rewrite the given function using the power reducing formula

f(x) = cos 2x

Recall;

cos 2x = cos(x + x)

= cos x • cos x - sin x• sin x

= cos^2 x - sin^2 x

But Sin^2 x = 1 - cos^2x

Thus;

Cos^2x - sin^2 x = cos^2 x - (1 - cos^2 x)

= cos^2 x + cos^2 x - 1 = 2 cos^2 x - 1

Slope of path at time t = 4 is y '(4)/x '(4) = (-15cos(4) + 4cos(4) - 1 + sin(4))/(6 - 2sin(4))

When horizontal position is 60:

2 + 6t + 2cos(t) = 60

Step-by-step explanation: