Question

prove that (sin A *tan A/2)/2=sin^2 A/2​

Answer 1

Step-by-step explanation:

ANSWER

We know,

⇒ sin2A=2sinAcosA

⇒ sinA=2sin

2

A

cos

2

A

⇒ sinA=2sin

2

A

cos

2

A

×

cos

2

A

cos

2

A

[Multiplying and dividing by cos

2

A

]

⇒ sinA=2tan

2

A

cos

2

2

A

⇒ sinA=2tan

2

A

×

sec

2

2

A

1

⇒ sinA=2tan

2

A

×

1+tan

2

2

A

1

∴ sinA=

1+tan

2

2

A

2tan

2

A

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