# Core Mathematics WASSCE Trigonometry: Sample Questions & Answers

## Are you preparing to take the Core Mathematics WASSCE exam and wondering how to tackle trigonometry questions? Trigonometry is an essential part of the exam, and mastering it can help you earn more points.

In this guide, we’ll provide you with tips and strategies to help you excel in WASSCE trigonometry questions.

To answer Core Mathematics WASSCE questions involving Trigonometry, follow these steps:

- Know the basic trigonometric ratios: Trigonometry involves ratios of the sides of right-angled triangles. Familiarize yourself with the three basic trigonometric ratios: sine, cosine, and tangent. Remember that sine equals opposite over hypotenuse, cosine equals adjacent over hypotenuse, and tangent equals opposite over adjacent.
- Know the reciprocal trigonometric ratios: In addition to the basic ratios, be familiar with their reciprocals: cosecant, secant, and cotangent. Cosecant equals hypotenuse over the opposite, secant equals hypotenuse over adjacent, and cotangent equals adjacent over opposite.
- Understand trigonometric functions: Understand how to use trigonometric functions to solve problems. For example, if you are given an angle and one side of a right-angled triangle, you can use trigonometry to find the other side(s).
- Use trigonometric identities: Be familiar with trigonometric identities and how to use them to simplify expressions. Common identities include sin^2 + cos^2 = 1 and tan^2 + 1 = sec^2.
- Practice with sample questions: Practice solving WASSCE past questions involving trigonometry. This will help you to become more familiar with the types of questions that you may encounter on the exam.
- Show your work: When answering WASSCE questions involving trigonometry, show your work clearly and label your diagrams. This will help you to avoid errors and ensure that you receive full marks for your solutions.

Here are 20 sample objective questions on Core Mathematics WASSCE Trigonometry along with their answers:

- What is the value of sin(30°)? Answer: 0.5
- What is the value of cos(45°)? Answer: √2/2
- What is the value of tan(60°)? Answer: √3
- What is the value of cosec(45°)? Answer: √2
- What is the value of sec(30°)? Answer: 2/√3
- If sin(θ) = 3/5, what is cos(θ)? Answer: 4/5
- If tan(α) = 4/3, what is cot(α)? Answer: 3/4
- If sin(θ) = 4/5, what is tan(θ)? Answer: 3/4
- If cos(θ) = -1/2, what is sin(θ)? Answer: √3/2
- What is the value of cot(45°)? Answer: 1
- What is the value of tan(45°)? Answer: 1
- If sin(θ) = 0.8, what is cos(θ)? Answer: 0.6
- If tan(θ) = -√3, what is cot(θ)? Answer: -1/√3
- If cos(θ) = 1/2, what is tan(θ)? Answer: √3/3
- What is the value of cos(60°)? Answer: 1/2
- What is the value of sin(45°)? Answer: √2/2
- If sec(θ) = -2, what is cos(θ)? Answer: -1/2
- If cot(θ) = 5/4, what is tan(θ)? Answer: 4/5
- If sin(α) = cos(α), what is the value of α? Answer: 45°
- If tan(θ) = -4/3, what is cos(θ)? Answer: -3/5

Note: These sample questions are only meant to give you an idea of the types of questions that may appear on the WASSCE Trigonometry exam. To prepare effectively, it is recommended to study a wide range of sample questions and to practice solving them under timed conditions.

By following these steps, you can approach Core Mathematics WASSCE questions involving Trigonometry with confidence and increase your chances of obtaining a high score.

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