Question

In a right triangle ABC right angled at C if tan A is equals to 1 then verify that 2 sin theta cos theta is equals to 1

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Tan A = 1 ( given )

Tan A = P/B

= 1/1

By Pythagoras property

H^2 = P^2 + B^2

H^2 = (1)^2 + (1)^2

= 1 + 1

= 2

H. = Square root 2

LHS

2sinAcosA

=2 × P/H × B/H 2 × 1/ square root 2 × 1/ square root 2

=2 × 1 / 2

=1

RHS

=1

LHS =RHS

HENCE PROVED!!!!!