Question

If A = 60° then the value of Sin 2 A will be​

Answer 1

Step-by-step explanation:

sinA=2sinAcosA

=2*✓3/2*1/2. ( since A = 60°)

=✓3/2

Answer 2

$\bf \red{sin \: ( 2A ) = \frac{ \sqrt{3} }{2}}$; if A= 60°.

Given:

• If A = 60°.

To find:

• Find the value of sin 2A.

Solution:

Formula/Concept to be used:

• $sin \: 2 \theta = 2sin \: \theta \: cos \: \theta$
• $sin \: {60}^{ \circ} = \frac{ \sqrt{3} }{2}$
• $cos \: {60}^{ \circ} = \frac{ 1 }{2}$

Step 1:

Apply the identity.

As we know that

$sin \: 2 \theta = 2sin \: \theta \: cos \: \theta$

so,

$sin \: 2 A = 2sin \: A \: cos \: A$

put the value of A.

$= 2sin \: {60}^{ \circ} \: cos \: {60}^{ \circ}$

Step 2:

Put the value of trigonometric angles.

$= 2 \times \frac{ \sqrt{3} }{2} \times \frac{1}{2}$

or

$= \frac{ \sqrt{3} }{2}$

Thus,

$\bf sin \: ( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2}$

#SPJ3

Learn more:

1) Find the value of Tan2 60°+Cot2 30°/Sin2 30°+Cos2 60°

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2) What is the value of Tan 45° - 1/√3 Sec 60°?

A) (1 - 2√3)/2 B) (√2 - √3)/√6 C) (3 - 2√3)/3 D) (1 - 2√2)/2

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