Question

sin 30*cos 30+sin 60*cos 60

Answer 1

Answer:

Step-by-step explanation:

Sin30=1/2

Cos30=√3/2

Sin60=√3/2

Cos60=1/2

So,

1/2*√3/2+√3/2*1/2=√3/4+√3/4

= 2√3/4

=√3/2

Answer 2

Answer:

$\large\boxed{\frac{\sqrt{3} }{2}=0.86  }$

Step-by-step explanation:

To solve this problem, first you have to use sin and cos formula from left to right numbers.

Given:

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

Solutions:

First, identify of sin.

$\displaystyle \sin(30)^{\circ}=\frac{1}{2}$

Secondly, identify of cos.

$\displaystyle \cos(30)^{\circ}=\frac{\sqrt{3} }{2}$

Identify of sin.

$\displaystyle \sin(60)^{\circ}=\frac{\sqrt{3} }{2}$

And identify of cos.

$\displaystyle cos(60)^{\circ}=\frac{1}{2}$

$\displaystyle \frac{1}{2}*\frac{\sqrt{3}}{2}+\frac{\sqrt{3}}{2}* \frac{1}{2}$

Solve.

$\displaystyle 2*\frac{1}{2}*\frac{\sqrt{3}}{2}$

Multiply fractions left to right.

$\displaystyle \frac{1* \sqrt{3}* 2}{2* 2}$

Common factor of 2.

$\displaystyle \frac{1*\sqrt{3} }{2}$

Multiply numbers from left to right.

$\displaystyle 1*3=3$

$\large\boxed{\frac{\sqrt{3} }{2} }$

As a result, the final answer is √3/2=0.86.