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

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

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

simplify

sin (π + x) + cos (\frac{π}{2} + x)

- 2 sin (x)

Solution steps

sin (π + x) + cos (\frac{π}{2} + x)

Rewrite using trig identities

= sin (π + x) - sin (x)

Rewrite using trig identities

= - sin (x) - sin (x)

Add similar elements:

- sin (x) - sin (x) = - 2 sin (x)

= - 2 sin (x)

cot (- x) cos (- x) + sin (- x)

cos (4 π + 2 π t)

arccos (1 - \frac{1 \cdot x}{4})

cos (- x) cot (- x) + csc (- x)

3 cos (\frac{1}{2} x - 2 π) - 1

What is sin(pi+x)+cos(pi/2+x) ?
The solution to sin(pi+x)+cos(pi/2+x) is -2sin(x)