Question

Q7 Prove (sin A + cosec A)2 + ( cos A + sec A = 7+tan A + cot?A​

Answer 1

Answer:

Step-by-step explanation:

(sin A + cosec A)² + (cos A + sec A)²

=sin²A + cosec²A + 2 sin A cosec A +  cos²A + sec²A + 2 cos A sec A

=(sin²A + cos²A) + 2 sin A x 1/sin A + 2 cos A x 1/cos A + cosec²A + sec²A

=1 + 2 + 2 + (1 + cot²A) + (1 + tan²A)

=5 + 1 + 1 + cot²A + tan²A

=7 + cot²A + tan²A