Question Detail
Question
The value of (sin 150° - 5cos 300° + 7 tan 225°)/(tan 135° + 3sin 210°) is:
Correct Answer
Option D is the correct answer.
Detailed Explanation
sin150° = 1/2, cos300° = 1/2, tan225° = 1, tan135° = -1, sin210° = -1/2. Numerator = 1/2 - 5(1/2) + 7(1) = 1/2 - 5/2 + 7 = -4/2 + 7 = -2 + 7 = 5. Denominator = -1 + 3(-1/2) = -1 - 3/2 = -5/2. So 5 ÷ (-5/2) = 5 × (-2/5) = -2.
Hint
Evaluate each trigonometric function separately.