(sine ø + cosec ø )2 + (cos ø + sec ø )2 = ?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 7 + tan2ø + cot2ø
(sine ø + cosec ø )2 + (cos ø + sec ø )2
= sin2 ø + cosec2 ø + 2 sin ø * cosec ø + cos2 ø + sec2 ø + 2cos ø * sec ø
= sin2 ø + cos2 ø + 4 + cosec2 ø + sec2 ø
We add 2 and subtract 2 to make formulae
= 1 + 4 + 2 + cosec2 ø - 1 + sec2 ø - 1
= 7 + tan2ø + cot2ø