What is 3cos(1/2 x+pi)-5 ?

The solution to 3cos(1/2 x+pi)-5 is -3cos(x/2)-5

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simplify 3cos(1/2 x+pi)-5

simplify

3 cos (\frac{1}{2} x + π) - 5

- 3 cos (\frac{x}{2}) - 5

Solution steps

3 cos (\frac{1}{2} x + π) - 5

Rewrite using trig identities

= 3 (- cos (\frac{x}{2})) - 5

Remove parentheses:

(- a) = - a

= - 3 cos (\frac{x}{2}) - 5

- cos (- A)

sin (- θ) + cos (\frac{π}{2} - θ)

sin (nπ) - sin (- nπ)

tan (36 0^{\circ} - θ)

3 cos (θ) - cos (- θ)