Question

If sin 2teta = 2 sin teta then the value of teta
is​

Answer 1

(Question)

➡ if sin(2x) = 2sin(x), then find the value of x.

(Solution)

Given that,

sin(2x) = 2sin(x)

We know that,

sin(2x) = 2sin(x)cos(x)

So,

➡ 2sin(x)cos(x) = 2sin(x)

Cancelling out 2sin(x) from both sides, we get,

➡ cos(x) = 1

➡ cos(x) = cos(0)

➡ x = 0°

➡ Hence, the value of x is 0°.

(Answer)

➡ The value of x is 0°.

(Verification)

Let us verify our result.

Taking LHS,

sin(2x)

= sin(2 × 0°)

= sin(0)

= 0

Taking RHS,

2sin(x)

= 2 × sin(0°)

= 2 × 0

Any number multiplied by zero gives zero as result.

So,

2 × 0

= 0

Hence,

LHS = RHS

Hence, value of x is 0° (Verified)

(Formula Used)

➡ sin(2x) = 2sin(x)cos(x)

Answer 2

Answer:

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