Evaluate : sin 2 34˚ +sin 2 56 ˚ + 2 tan 18˚ tan 72 ˚ - cot 2 30 ˚ .
Answers
Answered by
6
Answer:
Sin2 24˚ + sin2 56˚ + 2 tan 18˚ tan 72˚ – cot2 30˚
= sin2 34˚ + cos2 (90˚ – 56˚) + 2 tan 18˚ cot(90˚ – 72˚) – (√3)2
= (sin2 34˚ + cos2 34˚) + 2 tan 18˚ × 1/tan 18˚ – 3
= 1 + 2 – 3 = 3 – 3 = 0
Similar questions