The solution to cos(a+75) is (sqrt(6)-sqrt(2))/4 cos(a)-(sqrt(6)+sqrt(2))/4 sin(a)

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simplify cos(a+75)

Solution

simplify

cos (a + 7 5^{\circ})

\frac{6 - 2}{4} cos (a) - \frac{6 + 2}{4} sin (a)

Solution steps

cos (a + 7 5^{\circ})

Rewrite using trig identities

= \frac{6 - 2}{4} cos (a) - \frac{6 + 2}{4} sin (a)

csc (2 π - x)

sin (\frac{π}{2} - α)

sin (nπ) + sin (nπ)

- 3 cos (3 x + \frac{π}{4})

- \frac{2}{πn} 2 cos (nπ)

What is cos(a+75) ?
The solution to cos(a+75) is (sqrt(6)-sqrt(2))/4 cos(a)-(sqrt(6)+sqrt(2))/4 sin(a)