Question

Sec^2a+tan^2a=p
Then what is cosec=?

Answer 1

Answer:

sec^2A.cosec^2A-(tan^2A+cot^2A).

=(1+tan^2A).(1+cot^2A)-(tan^2A+cot^2A).

=1+tan^2A+cot^2A+tan^2A.cot^2A-tan^2A-cot^2A.

=1 + tan^2A×1/tan^2A.

=1 + 1

= 2 , Answer.

Sec²A×cosec²A-(tan²A+cot²A)

>>(1+tan²A)(1+cot²A)-(tan²A+cot²A)

>>1(1+cot²A)+tan²A(1+cot²A)-(tan²A+cot²A)

>>1+cot²A+tan²A+tan²A×cot²A-(tan²A+cot²A)

>>1+1 [tan²A×cot²A=1]

>>2

Done!!

Step-by-step explanation: