Question

If theta equal 45 verify sin 2 theta equal 2sin.cos theta

Answer 1

Here , I am using A instead

of theta.

A = 45° [ given ]

i ) Sin2A

= sin(2×45°)

= sin90°

= 1 ----( 1 )

ii ) 2sinAcosA

= 2sin45°cos45°

= 2×(1/√2)×(1/√2)

= 2/2

= 1 ----( 2 )

From (1 ) and (2) , we conclude

Sin2A = 2sinAcosA

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