The value of Sin2300 Cos2450 + 4Tan2300 + (1/2)Sin2900 + 2Cos900 is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 47/24
⇒ Sin2300 Cos2450 + 4Tan2300 + (1/2)Sin2900 + 2Cos900
By putting all the given values
⇒ (1/2)2 × (1/√2)2 + 4(1/√3)2 + (1/2)(1)2 + 2 × 0
⇒ 1/4 × 1/2 + 4/3 + 1/2 + 0
⇒ 1/8 + 4/3 + 1/2
⇒ (3 + 32 + 12)/24
⇒ 47/24