What is the value of sin(60)cos(30)+cos(60)sin(30) ?

The value of sin(60)cos(30)+cos(60)sin(30) is 1

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sin(60)cos(30)+cos(60)sin(30)

sin (6 0^{\circ}) cos (3 0^{\circ}) + cos (6 0^{\circ}) sin (3 0^{\circ})

1

Solution steps

sin (6 0^{\circ}) cos (3 0^{\circ}) + cos (6 0^{\circ}) sin (3 0^{\circ})

Use the following trivial identity:

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

Use the following trivial identity:

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

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

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

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

Simplify

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

= 1

cos (\frac{π}{3}) + i sin (\frac{π}{3})

tan (\frac{6}{8})

arcsinh (3)

- sin (4)

sin (\frac{π}{2}) - sin (- \frac{π}{2})

What is the value of sin(60)cos(30)+cos(60)sin(30) ?
The value of sin(60)cos(30)+cos(60)sin(30) is 1