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Trigonometric Identities

Quiz by William Lefkovics

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Q 1/18
Score 0
Which of the following is an example of a Pythagorean identity?
29
$\cos\theta=1-\sin\theta$
$\tan x=\frac{\sin x}{\cos x}$
$\sin^2x+\cos^2x=1$
$\sin x\times\cos x=\tan x$

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18 questions

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Q1
Which of the following is an example of a Pythagorean identity?
$\cos\theta=1-\sin\theta$
$\tan x=\frac{\sin x}{\cos x}$
$\sin^2x+\cos^2x=1$
$\sin x\times\cos x=\tan x$
30s
Q2
30s
Q3
30s
Q4
If tan(x) = sin(x)/cos(x), then what is cot(x)?
1/cos(x)
1/sin(x)
cos(x)/sin(x)
sin(x)/cos(x)
30s
Q5
30s
Q6
Which identity represents the Pythagorean theorem in trigonometry?
sin(x) * cos(x) = 1
tan^2(x) + 1 = sec^2(x)
1 + cot^2(x) = csc^2(x)
sin^2(x) + cos^2(x) = 1
30s
Q7
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Q8
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Q9
30s
Q10
Which of the following is an expression for the double angle identity of sin(2x)?
2sin(x)cos(x)
2tan(x)/(1 + tan^2(x))
2cos^2(x) - 1
sin^2(x) - cos^2(x)
30s
Q11
If sin(α) = 3/5 for 0 < α < π/2, what is cos(α)?
5/3
3/5
4/5
-4/5
30s
Q12
If cos(θ) = 1/2 and 0 < θ < π/2, what is sin(θ)?
1/2
√2/2
√3/2
-√3/2
30s
Q13
30s
Q14
30s
Q15
30s

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