Question 9
TrigonometryEvaluate: (cos2 300° − 4sin2 120°)/tan2 135°.
- A.−3¼
- B.−2¾
- C.−2¼
- D.−3¾
Show the answer and explanation
Answer: B (−2¾)
Explanation
cos 300° = ½, sin 120° = √3/2, tan 135° = −1. (¼ − 4 × ¾)/1 = ¼ − 3 = −2¾.
Evaluate: (cos2 300° − 4sin2 120°)/tan2 135°.
Answer: B (−2¾)
cos 300° = ½, sin 120° = √3/2, tan 135° = −1. (¼ − 4 × ¾)/1 = ¼ − 3 = −2¾.