Solving quadratic trigonometric equations (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is a quadratic equation format?
What is a quadratic equation format?
ax^2 + bx + c = 0
What does sin(x) range between?
What does sin(x) range between?
-1 to 1
What is an extraneous solution?
What is an extraneous solution?
Invalid solution
What is the first step in solving sin^2(x) - 5sin(x) + 6 = 0?
What is the first step in solving sin^2(x) - 5sin(x) + 6 = 0?
Set y = sin(x)
What is the range of the cosine function, cos(x)?
What is the range of the cosine function, cos(x)?
-1 to 1
Which formula correctly finds the roots of ax^2 + bx + c = 0?
Which formula correctly finds the roots of ax^2 + bx + c = 0?
x = (-b ± √(b^2-4ac))/(2a)
What does tan^2(x) - 4tan(x) = 0 factor to?
What does tan^2(x) - 4tan(x) = 0 factor to?
tan(x)(tan(x) - 4)
What is the first step in solving cos^2(x) + 3cos(x) + 2 = 0?
What is the first step in solving cos^2(x) + 3cos(x) + 2 = 0?
Set y = cos(x)
What must be checked after solving trig equations?
What must be checked after solving trig equations?
Check for extraneous solutions
What is the valid solution for cos(x) = -2?
What is the valid solution for cos(x) = -2?
Invalid