Question

In a rigt triangle ABC right angled at B. If tan A=1,then verify that 2 sin A cos A =1.

Answer 1

Step-by-step explanation:

I hope this will help u.

If so, please mark me as brainliest..

Answer 2

$\huge\underline{ \underline{ \red{your \: \: answer}}} \\ \sf\pink{tan \:A = 1 } \\ \sf\pink { = > \frac{sin \: A}{cos \: A} = tanA } \\ \sf\pink{ = > \frac{sin \: A}{cos \: A} = 1 } \\ \sf\pink{ = > sin \: A = cos \: A} \\ \sf\pink{ = > sin \: 45° = cos \: 45°} \\ \sf\pink{ = > a = 45°} \:\: \\( \sin\alpha = \cos \alpha \: when \: \alpha = 45°) \\</p><p>\sf\pink{2sin \: A \: cos \: A } \\ \sf\pink{ = > 2sin45°cos45°} \\ </p><p>\sf\pink{ = > 2 \times \frac{1}{ \sqrt{2} } \times \frac{1}{ \sqrt{2} } } \\ \sf\pink{ = > \frac{2}{ \sqrt{2} \times \sqrt{2} } } \\ \sf\pink{ = > \frac{2}{ \sqrt{4} } } \\ \sf\pink{ = > \frac{2}{2} } \\ \sf\pink{ = > 1} \\ \sf\pink{LHS = RHS} \\ \\ </p><p>\large\boxed{ \fcolorbox{red}{yellow}{hope it help you}}$