Question

prove that (sin theta+cosec theta) whole square+(cos theta+sec theta)whole square is equal to 7+yan square theta+cot square theta​

Answer 1

Answer:

Step-by-step explanation:

(sin A + cosec A)² + (cos A + sec A)² = 7+tan²A+cot²A

L.H.S. = (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(1/sin A) + 2 cos A(1/cos A) + 1 + tan²A + 1 + cot²A

= 1 + 2 + 2 + 2 + tan²A + cot²A

= 7+tan²A+cot²A = R.H.S.

hope it helps you