Question

If cosec A= √2, find the value of
2 sin^ A +3 cot^ A÷
4 tan^ A-cos^A​

Answer 1

Answer:

$\frac{8}{7}$

Step-by-step explanation:

cosecA = √2

cosecA = cosec45°

On comparing both sides,

A = 45

$2 {sin}^{2} a \: + 3 {cot}^{2} a \: \div \: 4 {tan}^{2} \: - {cos}^{2} a$

$2 \times { (\frac{1}{2} )}^{2} + 3 \times {(1)}^{2} \div 4 \times {(1) }^2 -( { \frac{1}{ \sqrt{2} } })^{2}$

$(2 \times \frac{1}{2} ) + 3 \div 4 - \frac{1}{2}$

$1 \times 3 \div 4 - \frac{1}{2}$

$4 \div \frac{7}{2}$

$4 \times \frac{2}{7}$

$\frac{8}{7}$