3 years ago

Prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1

Mathematics

1 answer:

Ad libitum [116K]3 years ago

5 0

Step-by-step explanation:

sin(x−y) / (cos x sin y)

Use angle sum/difference formula:

(sin x cos y − sin y cos x) / (cos x sin y)

Divide:

(sin x cos y) / (cos x sin y) − 1

Rearrange:

(sin x / cos x) (cos y / sin y) − 1

Simplify:

tan x cot y − 1

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Prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1​

Prove the identity with steps. sin (x-y)/cos x sin y = tan x cot y -1