Calculus Examples

$s = \sin (\frac{3 π}{2} t) + \cos (\frac{7 π}{4} t)$

Step 1

Rewrite the equation as $\sin (\frac{3 π}{2} t) + \cos (\frac{7 π}{4} t) = s$ .

$\sin (\frac{3 π}{2} t) + \cos (\frac{7 π}{4} t) = s$

Step 2

Simplify the left side.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Combine $\frac{3 π}{2}$ and $t$ .

$\sin (\frac{3 π t}{2}) + \cos (\frac{7 π}{4} t) = s$

Step 2.1.2

Combine $\frac{7 π}{4}$ and $t$ .

$\sin (\frac{3 π t}{2}) + \cos (\frac{7 π t}{4}) = s$