What is sin(x+pi/2)cos(x) ?

The solution to sin(x+pi/2)cos(x) is cos^2(x)

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simplify sin(x+pi/2)cos(x)

simplify

sin (x + \frac{π}{2}) cos (x)

cos^{2} (x)

Solution steps

sin (x + \frac{π}{2}) cos (x)

Rewrite using trig identities

= cos (x) cos (x)

Simplify

cos (x) cos (x) : cos^{2} (x)

= cos^{2} (x)

6 cos (3 π t + \frac{π}{3})

- cos (\frac{π}{2} + y)

tan (arctan (0) + arcsin (4 x))

tan (θ - 9 0^{\circ})

r^{2} (1 - sin^{2} (2 t))