Question

if cosA=9/41;find the value of :1/sin²A-cot²A​

Answer 1

Answer:

1600/1519

Step-by-step explanation:

cosA=9/41

cosA=Base/ Hypotenous

According to Phythogoreous Theorem..

H² = P² + B²

P² = H²- B²

P² = (41)²-(9)²

P² = 1681-81

P² = 1600

P = _/1600

P = 40

sinA = P/H= 40/41

sin²A= 1600/1681

cos²A= 81/1681

1/(sin²A-cot²A)

1/(sin²A- cos²A)/sin²A

= sin²A/(sin²A-cos²A)

= (1600/1681 )/(1600-81)/1681

= 1600/1519 Ans ..

Answer 2

Hi friend here is your answer...

Given : $cosA=\frac{9}{41} \\Then sinA will be \frac{40}{41}\\We\: have\: to\: find\:= \frac{1}{sin^{2} -cot^{2} }\\apply\: the\: values\:in\: above\:eqaution$

Hope my answer will help you..