Class 10 · ICSE · Mathematics

Trigonometric Identities

Proving identities using the standard relations between trigonometric ratios, and ratios of complementary angles.

Questions: 15
PYQs: 0
Topics: 2

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Proving Trigonometric Identities1 Ratios of Complementary Angles1

Questions

15 questions in this chapter.

Answer available
Class 10 · Mathematics · Trigonometric Identities
The value of tan 45° is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Trigonometric Identities
If sin θ = 3/5 and θ is acute, find cos θ and tan θ.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Trigonometric Identities
Prove that (sec A − tan A)(sec A + tan A) = 1.
3 marksMediumStructured
Answer available
Class 10 · Mathematics · Trigonometric Identities
If 3 cot θ = 4 and θ is acute, find the value of (5 sin θ − 3 cos θ)/(5 sin θ + 3 cos θ).
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Trigonometric Identities
Prove that (1 − cos²θ) cosec²θ = 1.
3 marksMediumStructured
Answer available
Class 10 · Mathematics · Trigonometric Identities
Prove that (1 + sin A)/(1 − sin A) = (sec A + tan A)².
4 marksHardStructured
Answer available
Class 10 · Mathematics · Trigonometric Identities
If tan θ = 4/3, find the value of (sin θ + cos θ)/(sin θ − cos θ).
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Trigonometric Identities
Write the value of sin 60° cos 30° − cos 60° sin 30°.
2 marksEasyNumerical
Answer available
Class 10 · Mathematics · Trigonometric Identities
The value of sin²θ + cos²θ is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Trigonometric Identities
Prove that tan θ + cot θ = sec θ cosec θ.
3 marksMediumStructured
Answer available
Class 10 · Mathematics · Trigonometric Identities
The value of 1 + cot²θ is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Trigonometric Identities
Evaluate (sin² 30° + cos² 45°) ÷ (tan² 60° − cot² 45°).
3 marksMediumNumerical

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