What is sin(θ)+cos(pi/2-θ) ?

The solution to sin(θ)+cos(pi/2-θ) is 2sin(θ)

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simplify sin(θ)+cos(pi/2-θ)

simplify

sin (θ) + cos (\frac{π}{2} - θ)

2 sin (θ)

Solution steps

sin (θ) + cos (\frac{π}{2} - θ)

Rewrite using trig identities

= sin (θ) + sin (θ)

Add similar elements:

sin (θ) + sin (θ) = 2 sin (θ)

= 2 sin (θ)

cos (x - 4 5^{\circ})

cos (- y - π)

sin (\frac{π x}{2} - \frac{π}{4})

cot (18 0^{\circ} + x)

sin (2 x + π)