Find the value of tan2 60° + 3 cos2 30° - 2 sec2 30°- cot2 60°.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1.33.
Given that
⇒ tan2 60° + 3 cos2 30° - 2 sec2 30°- cot2 60°
⇒ × 3 + 3 × 3/4 - 2 × 4/3 - × 1/3
⇒ 2 + 9/4 - 8/3 - 1/4
⇒ 2 + 8/4 - 8/3
⇒ 2 + 2 - 8/3
⇒ 4 - 8/3
⇒ 4/3 = 1.33