Trigonometric Equations and Ranges
9 lessons · 24 questions · 5 PYQs
What the exams ask here
- max sinA - sinB given cosA + cosB
- a sinx + b cosx range
- trig equation with log
- cos x + cos y = 1 -> range / max of sin x - sin y (Indore 2019 Q36, 2023 Q38)
- 3 sin^2 x + 12 cos x - 3 = p has a solution -> range of p (Indore 2021 Q17)
- sin x + sin y = sin(x + y) with |x| + |y| = 1: number of pairs (Indore 2019 SA Q11)
- median of a, b, c, d built from sin t, cos t, logs for 0 < t < pi/4 (Indore 2022 Q27)
- number of solutions of 2cos^2 x + 3 sin x = 0 in [0, 2pi]
- a sin x + b cos x + c: max / min
Lessons
- Start hereThe idea and the methodFirst lesson of Trigonometric Equations and Ranges
- 1.Max min of trig expression6 questions + fresh variants
- 2.Range under constraint2 questions + fresh variantsIndore 2023
- 3.Equation parameter single solution1 question + fresh variantsIndore 2021
- 4.Solve in interval8 questions + fresh variants
- 5.Product form equation count1 question + fresh variantsIndore 2019 SA
- 6.Compare trig expressions3 questions + fresh variantsIndore 2022
- 7.Log trig equationNew numbers every time (templates)
- 8.Sin cos equal condition3 questions