If sec Ø + cos Ø = 32, then sec2 Ø + cos2 Ø is _______.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1022.
Given that
If sec Ø + cos Ø = 32
Squaring both sides
⇒ sec2 Ø + cos2 Ø + 2 sec Ø × cos Ø = 322 = 1024
⇒ sec2 Ø + cos2 Ø = 1024 - 2
⇒ sec2 Ø + cos2 Ø = 1022