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Questions in: Trigonometric Functions

Math (11)

Q1: Find the radian measures corresponding t... Q2: Convert 40° 20′ into radian measure.... Q3: Convert 6 radians into degree measure... Q4: Find the radius of the circle in which a... Q5: The minute hand of a watch is 1.5 cm lon... Q6: If the arcs of the same lengths in two c... Q7: A wheel makes 360 revolutions in one min... Q8: Find the degree measure of the angle sub... Q9: In a circle of diameter 40 cm, the lengt... Q10: If in two circles, arcs of the same leng... Q11: Find the angle in radian through which a... Q12: Find the value of \(\sin\frac{31 \pi}{3}... Q13: Find the value of \(\cos (–1710°)\)... Q14: If \(\cos x = -\frac{1}{2},\) x lies in ... Q15: Prove that: \( \sin^2\frac{\pi}{6} + \... Q16: Prove that: \( 2\sin^2\frac{\pi}{6} + ... Q17: Prove that: \( \cot^2\frac{\pi}{6} + \... Q18: Prove that: \( 2\sin^2\left(\frac{3\pi... Q19: Find the value of: \(\sin 75^\circ\)... Q20: Find the value of \(\tan 15^\circ\)... Q21: Prove that: \( \cos\left( \frac{\pi}{... Q22: Prove that: \( \frac{\tan\left( \frac{... Q23: Prove that: \[ \frac{\cos(\pi + x)\cos(-... Q24: Prove that: \[ \cos\left( \frac{3\pi}{2}... Q25: Prove that: \[ \sin(n+1)x \cdot \sin(n+... Q26: Prove that \(\qquad \cos 4x = 1 - 8 \sin... Q27: If \(\cos x = –\frac{3}{5},\) x lies i... Q28: If \(\cot x = –\frac{5}{12},\) x lies ... Q29: If \(\cot x = \frac{3}{4},\) x lies in t... Q30: If \(\sin x = \frac{3}{5},\) x lies in t... Q31: If \(\sec x = \frac{13}{5},\) x lies in ... Q32: Prove that: \[ \cos\left( \frac{3\pi}{4... Q33: Prove that: \[ \sin^2(6x) - \sin^2(4x)... Q34: Prove that: \[ \cos^2(2x) - \cos^2(6x)... Q35: Prove that \[ \sin 2x + 2\sin 4x + \si... Q36: Prove that: \[ \cot 4x \cdot (\sin 5x... Q37: Prove that: \( \frac{\sin 5x + \sin 3x... Q38: Prove that: \( \frac{\sin x - \sin y}... Q39: Prove that: \( \frac{\sin x + \sin 3x}... Q40: Prove that: \[ \frac{\sin x - \sin 3x}... Q41: Prove that: \( \frac{\cos 4x + \cos 3x... Q42: Prove that: \( \qquad \cot x \cot 2x - \... Q43: Prove that \[ \tan 4x = \frac{4 \tan x (... Q44: Prove that \( \qquad \cos 6x = 32 \cos^6... Q45: Prove that \[ 2\cos\left(\frac{\pi}{13}\... Q46: Prove that \[ (\sin 3x + \sin x)\sin x +... Q47: Prove that: \[ (\cos x + \cos y)^2 + (\... Q48: Prove that: \[ (\cos x - \cos y)^2 + (\s... Q49: Prove that \[ \sin x + \sin 3x + \sin 5x... Q50: Prove that: \[ \frac{(\sin 7x + \sin 5x)... Q51: Prove that: \[ \sin 3x + \sin 2x - \sin ... Q52: Find \(\sin\frac{x}{2}, \cos\frac{x}{2},... Q53: Find \(\sin\frac{x}{2}, \cos\frac{x}{2},... Q54: Find \(\sin\frac{x}{2}, \cos\frac{x}{2},...

ID: Class: 11 Subject: Math Topic: Trigonometric Functions Type: Short

Question:

Find the value of \(\sin\frac{31 \pi}{3}\)

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