Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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Question

The value of (sin 150° - 5 cos 300° + 7 tan 225°)/(tan 135° + 3 sin 210°) is:
Options
A 1
B -1
C 2
D -2
Correct Answer
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.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 457 of 696
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