Math, asked by lalhruaikima21septem, 19 days ago

prove that cosA cosecA=cotA​

Answers

Answered by chandan454380
1

Answer:

\cos A\cos ec A=\cos A\cdot \frac{1}{\sin A}=\frac{\cos A}{\sin A}=\cot A

Step-by-step explanation:

LHS =\cos A\cos ec A=\cos A\cdot \frac{1}{\sin A}=\frac{\cos A}{\sin A}=\cot A= RHS

(Since cosec A is reciprocal and sin A and cot A is ratio of cos A and sin A)

Answered by saumyasingh1569
0

Step-by-step explanation:

To prove = cos A cosec A = cot A

Proof :-

cot A = cos A/ sin A (identity)

cosec A= 1/sin A (identity) ---- i)

cos A cosec A = cot A

cos A × 1/sin A = cot A [from eq. i)]

cos A/sin A = cot A

Hence proved.

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