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

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

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

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

1

Solution steps

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

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

Use the following trivial identity:

cos (6 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

arccos (\frac{1}{15})

sin (18 0^{\circ}) + cos (18 0^{\circ})

sec (\frac{π}{4}) - \frac{1}{( \frac{π}{4} ) ^{3}} + 5

tan (- \frac{17 π}{4})

sec^{2} (2 (\frac{π}{6})) \cdot 2

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