General Solution of Trigonometric Equations (VCE SSCE Mathematical Methods): Quizzes

📚Quizzes
General solution of trigonometric equations
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

Why do trigonometric equations have infinitely many solutions?

Trig functions are periodic

What is the range of cos1\cos^{-1}?

[0,π][0, \pi]

What is the range of sin1\sin^{-1}?

[π2,π2][-\frac{\pi}{2}, \frac{\pi}{2}]

What is the general solution of cosx=a\cos x = a for a[1,1]a \in [-1, 1]?

x=2nπ±cos1(a)x = 2n\pi \pm \cos^{-1}(a)

What is the general solution of tanx=a\tan x = a for aRa \in \mathbb{R}?

x=nπ+tan1(a)x = n\pi + \tan^{-1}(a)

What is the period of the tangent function?

π\pi

What is cos1(12)\cos^{-1}\left(\frac{1}{2}\right)?

π3\frac{\pi}{3}

What is sin1(12)\sin^{-1}\left(-\frac{1}{2}\right)?

π6-\frac{\pi}{6}

For equations with phase shifts, what should you do first?

Isolate the entire expression

What must always be specified when writing general solutions?

nZn \in \mathbb{Z}

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.