Question

If sin2A =2sinA then A=

Answer 1

$\huge\mathfrak{Hello}$

given

sin2A=2sinA

we know tha formula for sin2A,

sin2A=2sinAcosA

putting this into above given expression.we get

=>2sinAcosA=2sinA

=>2sinAcosA-2sinA=0

=>2sinA(cosA-1)=0

=>cosA-1=0 or 2sinA=0

=>cosA=0 or sinA=0

therefore

A=0°

Answer 2

SOLUTION

$= > sin {}^{2} A = 2sin \: A\\ = > sin {}^{2} A- 2sin \: A= 0 \\ = > sin \: A(sin \: A- 2) = 0 \\ = > sin \: A = 0 \: \: or \: \: \: sin \: A - 2 = 0 \\ = > sin \: A\: = 0 \: \: or \: sin \: A= 2 \: \: \: \: \: \: \: (rejected \: as \: maximum \: value \: of \: sin \theta \: is \: 1) \\ = > sin \: A= 0 \\ = > sin \: A = sin \theta \degree\\ = > A= \theta \degree$

hope it helps ☺️