What is the value of sin(50)cos(10)+cos(50)sin(10) ?

The value of sin(50)cos(10)+cos(50)sin(10) is (sqrt(3))/2

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sin(50)cos(10)+cos(50)sin(10)

sin (5 0^{\circ}) cos (1 0^{\circ}) + cos (5 0^{\circ}) sin (1 0^{\circ})

\frac{3}{2}

Solution steps

sin (5 0^{\circ}) cos (1 0^{\circ}) + cos (5 0^{\circ}) sin (1 0^{\circ})

Rewrite using trig identities:

sin (6 0^{\circ})

= sin (6 0^{\circ})

Use the following trivial identity:

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

= \frac{3}{2}

- cos (1) + cos (0)

sin (2) (20)

cos (12 1^{\circ})

tan (arccos (\frac{15}{17}))

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

What is the value of sin(50)cos(10)+cos(50)sin(10) ?
The value of sin(50)cos(10)+cos(50)sin(10) is (sqrt(3))/2