Question

if sin a=root3 then find the value of 2cot2A-1.​

Answer 1

Answer:

Refer to attachment ✌️

Answer 2

$\Large\underline{\underline{\sf{Correct\:Question}:}}$

• if sinA = √3/2
• Find 2cot²A - 1

$\Large\bold\star\underline{\underline\textbf{Formula\:used}}$

• cot²A = (cosec²A - 1)
• cosec²A = 1/sin²A

$\large\star{\underline{\tt{\red{Answer}}}}\star$

$2 \cot^{2} ( A) - 1 \\ \\ \red\leadsto \: \green{2( \csc^{2} (A) - 1) - 1} \\ \\ \red\leadsto \: \pink{2 \csc^{2} (A) - 2 - 1} \\ \\ \red\leadsto \: \frac{2}{ {sin}^{2}(A) } - 3 \\ \\ \red\leadsto \: \blue{\frac{2}{ {( \frac{ \sqrt{3} }{2}) }^{2} } - 3} \\ \\ \red\leadsto \: \orange{2 \times \frac{4}{3} - 3} \\ \\ \red\leadsto \: \frac{8}{3} - 3 \\ \\ \red\leadsto \: \red{\large\boxed{\bold{ \frac{ - 1}{3} }}}$

$\large\underline\textbf{Hope it Helps You.}$