What is the value of sin(195)+sin(105) ?

The value of sin(195)+sin(105) is (sqrt(2))/2

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sin(195)+sin(105)

sin (19 5^{\circ}) + sin (10 5^{\circ})

\frac{2}{2}

Solution steps

sin (19 5^{\circ}) + sin (10 5^{\circ})

Rewrite using trig identities:

2 sin (15 0^{\circ}) cos (4 5^{\circ})

= 2 sin (15 0^{\circ}) cos (4 5^{\circ})

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

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

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

Simplify

2 \cdot \frac{1}{2} \cdot \frac{2}{2} : \frac{2}{2}

= \frac{2}{2}

99 cos (1 5^{\circ})

arcsin (\frac{6}{9})

4 cos (2 0^{\circ})

cot (\frac{3 π}{7})

sin (9.46)

What is the value of sin(195)+sin(105) ?
The value of sin(195)+sin(105) is (sqrt(2))/2