If sin2A - 2sinA- Find A - Maths Q-A

Computing the required value:Given: sin(2A)=2sin(A).⇒ 2sin(A)cos(A) =2sin(A)0ex0ex⇒ 2sin(A)(cos(A) 1)=00ex0ex⇒sin(A)=0, cos(A) =1We, know that here ,A= ...

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Standard XII

Mathematics

Existence of Limit

If sin2A = 2s...

Question

If $\sin (2 A) = 2 \sin (A)$ . Find $A$ ?

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Solution

Computing the required value:
Given: $\sin (2 A) = 2 \sin (A)$ .
$\Rightarrow 2 \sin (A) \cos (A) = 2 \sin (A) \Rightarrow 2 \sin (A) (c os (A) - 1) = 0 \Rightarrow \sin (A) = 0, \cos (A) = 1$
We, know that here , $A = 0 °, A = 45 °$ .
Hence, the value of $A$ is $0 °$ and $45 °$ .

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If sin2A=2sinA. Find A?

Computing the required value:Given: sin2A=2sinA.⇒2sinAcosA=2sinA⇒2sinAcosA-1=0⇒sinA=0,cosA=1We, know that here ,A=0°,A=45°.Hence, the value of A is 0° and 45°.

If $\sin (2 A) = 2 \sin (A)$ . Find $A$ ?

Computing the required value:
Given: $\sin (2 A) = 2 \sin (A)$ .
$\Rightarrow 2 \sin (A) \cos (A) = 2 \sin (A) \Rightarrow 2 \sin (A) (c os (A) - 1) = 0 \Rightarrow \sin (A) = 0, \cos (A) = 1$
We, know that here , $A = 0 °, A = 45 °$ .
Hence, the value of $A$ is $0 °$ and $45 °$ .