Question

if 15 cotA=8. find all other trigonometric ratios of angle A and verify the result cos ^2 A= 1 - sin ^2A​

Answer 1

Step-by-step explanation:

Given,

15cot A = 8

cot A = 8/15

then,

tan A = 1/cotA =15/8

cosec A= √1+cot2 A= 17/15

sinA = 1/cosecA = 15/17

cosA = √1-sin2A = 8/17

secA = 1/cosA = 17/8

result verifing

cos^2A= (8/17)^2= 64/289

1-sin^2A= 1-(15/17)^2=64/289

so, cos^2A= 1-sin^2A