ICSE Class 10 Trigonometric Identities — Mock Test (2027)
Free online mock test for Trigonometric Identities (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Trigonometric Identities chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.Prove the trigonometric identity by selecting the correct simplified form of the left-hand side: $\tan^2 A - \sin^2 A = ?$
- A.$\tan^2 A \sin^2 A$
- B.$\sin^2 A - \tan^2 A$
- C.$\frac{\sin^2 A (1 - \cos^2 A)}{\cos A}$
- D.$\tan^2 A (1 - \sin^2 A)$
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2.If $\sin \theta + \cos \theta = \sqrt{2} \cos \theta$, ($\theta \neq 90^\circ$) then the value of $\tan \theta$ is
- a.$\sqrt{2} - 1$
- b.$\sqrt{2} + 1$
- c.$\sqrt{2}$
- d.$-\sqrt{2}$
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3.Using tables, find the acute angle θ when: (i) $\cos \theta = 0.94$ (ii) $\cos \theta = 0.8092$ (iii) $\cos \theta = 0.1679$
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4.(i) Using tables find the value of: $\sin 83^\circ 12'$
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5.Eliminate θ from the following equations: $x = a \csc \theta$, $y = b \cot \theta$. Which of the following relations is obtained?
- A.$\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$
- B.$\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$
- C.$\frac{x^2}{a^2} - \frac{y^2}{a^2} = 1$
- D.$\frac{y^2}{b^2} - \frac{x^2}{a^2} = 1$
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