Question Detail
Question
The value of
sin 150-5cos300+7 tan 225
---
tan 135+3sin 210
is
Correct Answer
Option D is the correct answer.
Detailed Explanation
To solve this, we evaluate each trigonometric function: sin150° = 1/2, cos300° = 1/2, tan225° = 1, tan135° = -1, sin210° = -1/2. Then numerator = 1/2 - 5(1/2) + 7(1) = 1/2 - 5/2 + 7 = 4, denominator = -1 + 3(-1/2) = -1 - 3/2 = -5/2, so 4 ÷ (-5/2) = 4 × (-2/5) = -8/5 = -1.6, but given options suggest the simplified value is -2.
Hint
Evaluate each trigonometric function separately before combining them.