Question

prove the following trigonometry identities :
cosec A (I+COSA) (Cosec A-cot A) = 1​

Answer 1

Step-by-step explanation:

cosec A (1+cosA) (Cosec A - cot A) = 1

(cosec A + cosec A cosA) (Cosec A - cot A) = 1

(cosec A + cosA/sinA) (Cosec A - cot A) = 1

(cosec A + cot A) (cosec A - cot A) = 1

cosec²A - cot²A = 1

1 = 1

Answer 2

Answer:

${1}^{2} - {cos}^{2} a = {sin}^{2} a \\ cosec \: a = \frac{1}{sin \: a} \\ \\ cot \: a \: = \frac{cos \: a}{ \: sin\: a}$