Question

2 sin 70 cos30 is equal to​

Answer 1

Answer:

3/2

Step-by-step explanation:

sin 70 cos 30= sin(90-30) cos 30

=cos 30 cos 30

=cos^2 30=[√3/2]^2

=3/4

2sin 70cos 30=2(3/4)=3/2.

Answer 2

2 sin60° cos30° = $\dfrac{3}{2}$

Tips:

Before we solve the problem, we must knkw some trigonometric values:

• sin30° = $\dfrac{1}{2}$

• sin60° = $\dfrac{\sqrt{3}}{2}$

• cos30° = $\dfrac{\sqrt{3}}{2}$

• cos60° = $\dfrac{1}{2}$

Note:

Here we have corrected the question by changing sin70° into sin60°.

Step-by-step explanation:

Now, 2 sin60° cos30°

= 2 × $\dfrac{\sqrt{3}}{2}$ × $\dfrac{\sqrt{3}}{2}$

= $\dfrac{3}{2}$

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