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).
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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
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
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