Question

proof for sin2A=2sinAcosA

Answer 1

Answer:

Hence proved that,

Step-by-step explanation:

Step 1: Trigonometry is an area of mathematics that deals with correlations between angles and length ratios. The term comes from the Ancient Greek words "trigonon" and "metron," which both mean "measure." The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research. Sine, cosine, and tangent are 3 important trigonometric functions and are abbreviated as sin, cos and tan.

Step 2:We know that, sin(A + B) = sinA cosB + cosA sinB.

Now put B = A in the above equation,

we get,

sin(A + A) = sinA cosA + cosA sinA

=> sin2A = sinA cosA + sinA cosA

=> sin2A = 2sinA cosA.

Hence proved that,

sin2A = 2sinA cosA.

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