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}))

= 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

800 cos (4 5^{\circ})

sin (arcsin (2))

4 \cdot cos (6 0^{\circ})

- sin (\frac{5 π}{12})

sin (2 arctan (\frac{8}{15}))

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