Question

In a right triangle abc right angled at c. If tan A =1 verify that

$2sin \: a \times cos \: a \: = 1$
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Answer 1

Answer:

Hey mate i will help u

Refers with attachments

Step-by-step explanation:

Hence

Lhs =Rhs

Answer 2

Answer:

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I will help

We know that

$tan \: a \: = \frac{perpendicular}{adjacent}$

$tan \: a \: = \frac{1}{1} \: \: \: \: \: \: \: \: \: (given)$

Therefore

$perpendicular = 1$

$and \: \\ \\ \\ \\ \: adjacent = 1$

By uaing. Pythagoras theorem

We get the vaule of side AC = root 2

$lhs \: \: \: \\ \\ \\ \\ 2sin \: a \times cos \: a \\ = 2 \times \frac{1 }{ \sqrt{2} } \times \frac{1}{ \sqrt{2} }$

$= \frac{2}{2}$

= 1

Hence prove