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Sum and Difference Formulae

Math ⇒ Trigonometry

Sum and Difference Formulae starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Sum and Difference Formulae. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 11
Explain why the sum and difference formulae are important in trigonometry.
If cosA = 0.6, sinB = 0.8, A and B are in the first quadrant, and sinA = 0.8, cosB = 0.6, find cos(A + B).
If sinA = 0.3, cosA = 0.954, sinB = 0.4, cosB = 0.916, find cos(A + B).
If sinA = 0.5, cosA = 0.866, sinB = 0.6, cosB = 0.8, find sin(A + B).
If sinA = 0.5, cosA = 0.866, sinB = 0.866, cosB = 0.5, find sin(A + B).
If sinA = 0.6, cosA = 0.8, sinB = 0.5, cosB = 0.866, find sin(A - B).
If sinA = 0.6, cosA = 0.8, sinB = 0.8, cosB = 0.6, find sin(A - B).
If sinA = 0.6, cosA = 0.8, sinB = 0.8, cosB = 0.6, find tan(A + B).
If sinA = 0.8, cosA = 0.6, sinB = 0.6, cosB = 0.8, find cos(A - B).
If sinA = 3/5 and cosB = 4/5, with A and B both in the first quadrant, find sin(A + B).
If tanA = 0.5, tanB = 0.25, find tan(A + B).
If tanA = 1 and tanB = 2, find tan(A + B).
If tanA = 1, tanB = 1, find tan(A + B).
If tanA = 1/2 and tanB = 1/3, find tan(A - B).
If tanA = 2, tanB = 3, find tan(A - B).
State the sum formula for cos(A + B).