What is expand cos(15) ?

The solution to expand cos(15) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))

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Expand Using Sum/Difference Formulas cos(15 degrees )

expand

cos (1 5^{\circ})

\frac{3}{2 2} + \frac{1}{2 2}

Decimal Notation

0.96592 \dots

Solution steps

cos (1 5^{\circ})

Rewrite using trig identities:

cos (4 5^{\circ}) cos (3 0^{\circ}) + sin (4 5^{\circ}) sin (3 0^{\circ})

= cos (4 5^{\circ}) cos (3 0^{\circ}) + sin (4 5^{\circ}) sin (3 0^{\circ})

Use the following trivial identity:

cos (4 5^{\circ}) = \frac{2}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

= \frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2}

Simplify

\frac{2}{2} \cdot \frac{3}{2} + \frac{2}{2} \cdot \frac{1}{2} : \frac{6 + 2}{4}

= \frac{6 + 2}{4}

Simplify

= \frac{3}{2 2} + \frac{1}{2 2}

x, \frac{2}{3} x = 4

- e^{x} - e^{x}

x, \frac{5}{x} = \frac{4}{8}

x^{2} - 8 x = - 12

(- 8) - (- 1)

What is expand cos(15) ?
The solution to expand cos(15) is (sqrt(3))/(2sqrt(2))+1/(2sqrt(2))