Question

If cot A = 12/5. then find sin A , cosA and cosec A.

Answer 1

Answer:

cotA= cosA/sinA

Therefore, cosA=12 and sinA=5

sinA=1/ cosecA

Therefore,cosecA=1/5

Step-by-step explanation:

Answer 2

Given:- 12 cotA=5.

or, cot A=5/12.

or, cot²A=(5/12)²

or, cot²A=25/144

now cosec²A-cot²A=1.

or,cosec²A=1+cot²A

or,cosec²A=1+25/144

or,cosec²A=169/144

or,cosecA=13/12

so sinA=1/cosec A = 12/13

sin²A+cos²A=1

or,cos²A=1-sin²A

or,cos²A=1-(12/13)²

or,cos²A=1-144/169

or,cos²A=25/169

or,cosA=5/13

Thus Sin A=12/13.

Cos A=5/13

Cosec A=13/12.