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

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

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

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

\frac{3}{2}

Solution steps

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

sin (0.2)

arctan (\frac{3}{7})

cos (\frac{13 π}{6})

sec (- 4 5^{\circ})

tan (5 6^{\circ})

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