Trigonometric Identities

16 lessons · 32 questions · 8 PYQs

What the exams ask here

sinθ+cosθ=k find sin^3+cos^3
sin^6+cos^6 from sum
cos^2 at special angles sum
sin(13 pi/6) (Rohtak 2019); cos 510 cos 330 + sin 390 cos 120 (allied angles)
cos^2(pi/8) + cos^2(3pi/8) + cos^2(5pi/8) + cos^2(7pi/8) (Indore 2020 Q14)
sin t + cos t = m -> sin^6 + cos^6 (Indore 2019 Q37); = sqrt7/2 -> sin - cos (JIPMAT 2024 Q24)
sin a + sin b = sqrt2/sqrt3, cos a + cos b = 1/sqrt3 -> (20 cos((a - b)/2))^2 (Indore 2022 SA Q10)
Statement I/II with standard values (JIPMAT 2024 Q26)
(sin t + cos t)/(sin t - cos t) = 3 -> sin^4 - cos^4 (JIPMAT 2025)
sec t + tan t = k -> sin t; one ratio and the quadrant -> another ratio
arc length s = r theta; sector area