What is cos(3/(9t)-7)+3 ?

The solution to cos(3/(9t)-7)+3 is 3+cos(7-1/(3t))

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simplify cos(3/(9t)-7)+3

simplify

cos (\frac{3}{9 t} - 7) + 3

3 + cos (7 - \frac{1}{3 t})

Solution steps

cos (\frac{3}{9 t} - 7) + 3

Rewrite using trig identities

= cos (7) cos (\frac{1}{3 t}) + sin (7) sin (\frac{1}{3 t}) + 3

Use the Angle Difference identity:

cos (s) cos (t) + sin (s) sin (t) = cos (s - t)

= 3 + cos (7 - \frac{1}{3 t})

(tan (x + 4 5^{\circ}))^{2}

- sin (x - 2 x)

3 cos (x + \frac{π}{2}) - 1

cot (arcsin (\frac{w - 1}{w + 2}))

cos ((\frac{5 π}{2}) + θ)