Trigonometric Identities – Sum & Difference Formulae
Maths Higher · Grade 11 · Week 8 · 25 questions
Trigonometric Identities is a central Grade 11 mathematics chapter covering Sum & Difference Formulae. These methods reappear throughout Grade 12 and in board + competitive exam papers.
What you'll practise
- Prove Sum & Difference Formulae
- Work through NCERT intext examples and exercise questions for trigonometric identities
- Apply trigonometric identities concepts to NCERT exercise and exemplar problems
All 25 questions in this Trigonometric Identities – Sum & Difference Formulae quiz
Grade 11 Maths Higher — Trigonometric Identities – Sum & Difference Formulae: 25 practice questions with instant scoring and explanations.
- Using the standard identity, the value of sin(A + B) is:
- Using the standard identity, the value of cos(A - B) is:
- Using the standard identity, the value of tan(A + B) is:
- The value of sin 75° is:
- Using the standard identity, the value of cos 15° is:
- Using the standard identity, the value of sin(A - B) is:
- Using the standard identity, the value of cos(A + B) is:
- Using the standard identity, the value of tan(A - B) is:
- The value of tan 105° is:
- Using the standard identity, the value of sin 105° is:
- If A = 30° and B = 15°, then sin(A + B) =
- Using the standard identity, the value of cos 105° is:
- If sin A = 3/5 (A in 1st quadrant) and cos B = 5/13 (B in 1st quadrant), then sin(A + B) =
- The product-to-sum formula sin A + sin B =
- cos A - cos B =
- sin A + cos A = √2 sin(A + θ), where θ =
- If tan A = 1/2 and tan B = 1/3, then tan(A + B) =
- The formula sin(A + B) sin(A - B) =
- If tan A = 2 and A is acute, then sin(A + 45°) =
- cos(π/4 + θ) - cos(π/4 - θ) =
- The value of sin 20° sin 40° sin 80° =
- Using the standard identity, the value of cot(A + B) is:
- If A + B = 45°, then (1 + tan A)(1 + tan B) =
- sin 18° cos 27° + cos 18° sin 27° =
- Using the standard identity, the value of tan 75° is:
Question 1 of 250 correct so far