Question

trigonometry identites how to solve this sum:--

If A is an acute angle and sin A = 3/5, find all other trigonometric ratios of angle A (using trigonometric identities).

Answer 1

checkout the pic......

Answer 2

sin A = 3/5

sin^2 A + cos^2 A = 1

( 3/5 )^2 + cos^2 A = 1

9/25 + cos^2 A = 1

cos^2 A = 1 - 9/25

cos^2 A = 16/25

cos A = 4/5

tan A = sin A / cos A

= 3/5 ÷ 4/5

= 3/4

cosec A = 1/ sin A

= 1 ÷ 3/5

= 5/3

sec A = 1/ cos A

= 1 ÷ 4/5

= 5/4

cot A = 1/ tan A

= 1 ÷ 3/4

= 4/3