Solving trigonometric equations using the auxiliary angle method (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
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10 questions from this quiz
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Practise the questions
10 questions from this quiz
For 3 sin x + 4 cos x, what is r = √(a^2+b^2)?
For 3 sin x + 4 cos x, what is r = √(a^2+b^2)?
5
Find r for 7 sin x − 24 cos x (r = √(a^2+b^2)).
Find r for 7 sin x − 24 cos x (r = √(a^2+b^2)).
25
How can a sin x − b cos x be written using auxiliary angle?
How can a sin x − b cos x be written using auxiliary angle?
r sin(x − α)
What is r for 3 sin x + 4 cos x written as r sin(x+α)?
What is r for 3 sin x + 4 cos x written as r sin(x+α)?
5
If a sin x + b cos x = r sin(x+α), what is tan α?
If a sin x + b cos x = r sin(x+α), what is tan α?
b/a
Convert 5 sin x + 12 cos x; what is r?
Convert 5 sin x + 12 cos x; what is r?
13
If r sin(x+α) = 0, general solution for x is?
If r sin(x+α) = 0, general solution for x is?
x = -α + nπ
In 5 sin x + 7 cos x = 11, what is sin(x+α)?
In 5 sin x + 7 cos x = 11, what is sin(x+α)?
11/√74
What is the formula for r in the auxiliary angle method?
What is the formula for r in the auxiliary angle method?
sqrt(a^2 + b^2)
In auxiliary angle form a sin x + b cos x = r sin(x+α), what is r?
In auxiliary angle form a sin x + b cos x = r sin(x+α), what is r?
sqrt(a^2 + b^2)