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

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

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

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

1

Solution steps

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

Use the following trivial identity:

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

Use the following trivial identity:

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

Use the following trivial identity:

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

Use the following trivial identity:

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

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

Simplify

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

= 1

csc (9)

cos (1) - cos (0)

sin^{3} (\frac{π}{6})

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

1 - cos^{2} (0)

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