What is the value of sin(105)+sin(15) ?

The value of sin(105)+sin(15) is sqrt(3/2)

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sin(105)+sin(15)

sin (10 5^{\circ}) + sin (1 5^{\circ})

\frac{3}{2}

Solution steps

sin (10 5^{\circ}) + sin (1 5^{\circ})

Rewrite using trig identities:

2 sin (6 0^{\circ}) cos (4 5^{\circ})

= 2 sin (6 0^{\circ}) cos (4 5^{\circ})

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

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

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

Simplify

2 \cdot \frac{3}{2} \cdot \frac{2}{2} : \frac{3}{2}

= \frac{3}{2}

cos (5 1^{\circ})

sin^{3} (\frac{π}{4})

arcsin (\frac{8}{17})

sin (\frac{- 5 π}{6})

cos (arctan (- 1))

What is the value of sin(105)+sin(15) ?
The value of sin(105)+sin(15) is sqrt(3/2)