Question

If tanA = 1, verify that sin2A = 1

Answer 1

Answer:

Given that tanA=1/1=perpendicular/base

here, perpendicular (p)=1 units.

base(b)= 1 units.

hypotenuse=h

by Pythagoras theorem,

h²=p²+b²

h²=1²+1²

h²=2

h=√2 units.

verification:-

sin²A=1

SinA=p/h

=1/√2

LHS RHS

sin²A 1

(1/√2)²

1/2

LHS is not equal to RHS

hence, verified

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