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Functions and trigonometry Flashcards | StudBud
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Functions and trigonometry
Functions and trigonometry
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Answers
1
Which statement is true?
None of these statements is true
The sine function is invertible on [-\frac{\pi}{2},\frac{\pi}{2}]
The cosine function is invertible on [-\frac{\pi}{2},\frac{\pi}{2}]
The tangent functions is invertible on [-\frac{\pi}{2},\frac{\pi}{2}]
2
A quadratic function
hast exactly one maximum and one minimum
always has exactly one maximum or mimimum
has more than one maximum or minimum
can have no maximum or minimum
3
The cosine rule is true only in right angled triangles.
False
True
4
This function is
injective
This is not a function
surjective
not invertible
5
Let f:A→B be an injective function between finite sets A and B, then
A has the same number of elements as B or more.
B has fewer elements than A
A has fewer elements than B
B has the same number of elements as A or more.
6
\sin\left(30\degree\right)=?
0
1
\frac{1}{2}
\frac{1}{\sqrt{2}}
7
\frac{\pi}{2} is in degrees?
180\degree
60\degree
90\degree
45\degree
8
\cos\left(200\degree\right) is
zero
negative
positive
undefined
9
A quadratic function ..
has 0, 1 or 2 zeros
can have more than 3 zeros
has no zeros
has exactly 2 zeros
10
1+\tan\left(x\right)^2=\frac{1}{\cos\left(x\right)^2}
False
True
11
A linear function is always bijective
True
False
12
Which definition is correct?
\tan\left(x\right)=\frac{opposite}{hypotenuse}
\tan\left(x\right)=\frac{opposite}{adjacent}
\tan\left(x\right)=\frac{adjacent}{opposite}
\tan\left(x\right)=\frac{adjacent}{hypotenuse}
13
The cosine rule says
a^2=b^2+c^2-2bc\cdot\cos\left(α\right)
a^2=b^2+c^2-2bc\cdot\cos\left(γ\right)
a^2=b^2+c^2
a^2=b^2+c^2+2bc\cdot\cos\left(α\right)
14
Which of the following identities is a variant of the sine rule?
\frac{\sin\left(α\right)}{\sin\left(β\right)}=\frac{a}{b}
\frac{\sin\left(α\right)}{\sin\left(β\right)}=γ
\frac{\sin\left(α\right)}{\sin\left(β\right)}=\frac{b}{a}
a\cdot\sin\left(α\right)=b\cdot\sin\left(β\right)
15
Which identity is true?
\sin\left(α\right)=\sin\left(-α\right)
\cos\left(α\right)=-\cos\left(-α\right)
\tan\left(α\right)=\tan\left(-α\right)
\cos\left(α\right)=\cos\left(-α\right)
16
60\degreeis in radians
\frac{\pi}{6}
\frac{\pi}{3}
\frac{\pi}{2}
\frac{\pi}{4}
17
Which of the following functions
cannot be injective ?
f: {even numbers} →ℕ
f:ℝ→ℚ
f:\left\{1,2\right\}→\left\{1,2,3\right\}
f:ℕ→ℚ
18
Which identity is true?
\sin\left(α\right)^{ }+\cos\left(α\right)^{ }=1
\sin\left(α\right)^2+\cos\left(α\right)^2=2\pi
\sin\left(α\right)^2-\cos\left(α\right)^2=1
\sin\left(α\right)^2+\cos\left(α\right)^2=1
19
Which identity is true
\cos\left(α\right)=\sin\left(2\pi+α\right)
\cos\left(α\right)=\sin\left(\pi-α\right)
\cos\left(α\right)=\sin\left(\frac{\pi}{2}-α\right)
\cos\left(α\right)=\sin\left(\pi+α\right)
20
f\left(x\right)=x^3+100x^2+200x+300 has a zero
False
True
21
\tan\left(\frac{\pi}{2}\right) is
undefined
zero
positive
negative
22
\sin\left(100\degree\right) is
undefined
negative
positive
zero
