If x tan 60° + cos 45° = sec 45° then the value of x2 + 1 is?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 7/6
x tan 60° + cos 45° = sec 45°
⇒ x√3 + 1/√2 = √2
⇒ √3x = √2 - 1/√2 = 1/√2
⇒ x = 1/√6
Hence,
x2 + 1 = (1/√6)2 + 1 = 7/6