Exercise 8.1: Trigonometric Ratios
Find sin, cos, and tan of angles in right triangles. The foundation of everything in trigonometry.
Extra Practice Questions
These questions cover the same concepts as Exercise 8.1. Try solving them to build confidence before or after the textbook exercise.
In a right-angled triangle ABC, right-angled at B, if AB = 8 cm and BC = 6 cm, what is the value of tan A?
Simplify: (1 - sin²A) / (1 - cos²A)
In a right-angled triangle ABC, right-angled at B, P is a point on BC such that BP:PC = 1:2. If ∠BAC = θ and ∠BAP = φ, what is the value of (tan θ) / (tan φ)?
If x = a sec θ cos φ, y = b sec θ sin φ, and z = c tan θ, then what is the value of (x²/a² + y²/b² - z²/c²)?
Which of the following statements about trigonometric ratios for an acute angle A is ALWAYS true?
If sin θ = 12/13, what is the value of cosec θ?
Evaluate the expression: 2 × sin 30° + tan 45°.
Evaluate: (sin 60° × cos 30° + sin 30° × cos 60°)
If sin A + sin² A = 1, then what is the value of cos² A + cos⁴ A?
The value of (sin 25° cos 65° + cos 25° sin 65°) is:
Stuck on a question?
Paste any question from Exercise 8.1 into our AI Maths Solver and get a step-by-step solution instantly. It works for all NCERT questions.
Try AI Solver — FreeCommon Mistakes to Avoid
- ✗Confusing opposite and adjacent sides (depends on which angle you're looking at)
- ✗Not using Pythagoras to find the missing side first
- ✗Mixing up sin and cos
Other Exercises in Chapter 8
Frequently Asked Questions
How many questions are in Exercise 8.1?
Exercise 8.1 has 11 questions on computing trigonometric ratios from right triangles.
Want to practise on paper? Download a free worksheet for this topic.
Download Worksheet PDF