CBSE Class 10 Mathematics Standard 2026: question 24(a)
Set in the CBSE Class 10 board exam of 2026, paper 30/2/1, section B, question 24(a), for 2 marks. Try it first; the hints and our step-by-step solution are below.
Q24(a) · 2 marks · Very short answerIntroduction to Trigonometry
If , find the value of .
Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/2/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Try squaring the given equation.
Hint 2
The middle term of is .
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- ½ mark
Squaring both sides:
- 1 mark
- ½ mark
Answer: 2
Where the marks are
- Squares both sides (½ mark)
- Expands correctly with middle term 2 (1 mark)
- Gets the value 2 (½ mark)
Revise the chapter
- Chapter: Introduction to Trigonometry (notes, formulas, where marks are lost and every past question)
- Topic: Proving Simple Trigonometric Identities
More questions from Introduction to Trigonometry
- 2026 board paper, set 30/2/1 (Standard), Q24(b) · 2 marksProve that : √((1 - θ)/(1 + θ)) = θ - θ
- 2026 board paper, set 30/2/1 (Standard), Q28(a) · 3 marksProve that : (³θ)/(²θ - 1) + cosec³θcosec²θ - 1 = θ · cosecθ\ (θ + cosecθ)
- 2026 board paper, set 30/2/1 (Standard), Q28(b) · 3 marksIf αcosecβ = p and αcosecβ = q, then prove that (p² - q²)²α = p².
The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.