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

Popular >

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

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

\frac{90}{sin ( 4 5 ^{\circ} )}

tan^{2} (\frac{π}{4}) + sin^{2} (\frac{π}{6}) + cos^{2} (\frac{π}{6})

cos (arccos (\frac{15}{17}) - arccos (\frac{7}{25}))

\frac{5 π}{6} + 2 cos (\frac{5 π}{6})

arctan (\frac{0.1}{cos ( 3 )})

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