Trigonometry, Free Math Quiz

Question 1 (1 point)

Which of the following is NOT true?

[tex] \sin A=\frac{3}{5} [/tex]

[tex] \cos B=\frac{3}{5} [/tex]

[tex] \sin B=\frac{3}{5} [/tex]

[tex] \cos B=\frac{3}{5} [/tex]

Question 2 (2 points)

Which of the following is NOT correct?

[tex] \sin 30^\circ= \cos 60^\circ [/tex]

[tex] \sin 30^\circ= \cos 30^\circ [/tex]

[tex] \sin 45^\circ= \cos 45^\circ [/tex]

[tex] \tan 30^\circ= \cot 60^\circ [/tex]

Question 3 (1 point)

True or false?
[tex] \sin 25^\circ + \sin 65^\circ = \sin 90^\circ [/tex]?

True

False

Question 4 (1 point)

Which of the following is correct for all values of [tex] \theta [/tex]?

[tex] -1 \leq \sin \theta \leq 1 [/tex]

[tex] -1 \leq \tan \theta \leq 0 [/tex]

[tex] -1 \leq \cot \theta \leq 0 [/tex]

[tex] 0 \leq \cos \theta \leq 0 [/tex]

Question 5 (1 point)

In the triangle‎ [tex] ABC [/tex], [tex] \sin B= x [/tex]. What is the value of [tex] \cos C [/tex]?

$In the triangle‎ [tex] ABC [/tex], [tex] \sin B= x [/tex]. What is the value of [tex] \cos C [/tex]?$

[tex] x [/tex]

[tex] -x [/tex]

[tex] \frac{1}{x} [/tex]

[tex] -\frac{1}{x} [/tex]

Question 6 (2 points)

If [tex] \tan \theta = \frac{4}{3} [/tex] and [tex] 0 \le \theta \le 90^\circ [/tex], what is the value of [tex] \cos \theta [/tex]?

[tex] \frac{4}{5} [/tex]

[tex] \frac{2}{5} [/tex]

[tex] \frac{1}{5} [/tex]

[tex] \frac{3}{5} [/tex]

Question 7 (2 points)

If [tex] \sin \theta = \frac{12}{13} [/tex], what is the value of [tex] \cot \theta [/tex]?

[tex] \frac{5}{12} [/tex]

[tex] \frac{12}{5} [/tex]

[tex] \frac{5}{13} [/tex]

[tex] \frac{13}{5} [/tex]

Question 8 (3 points)

Calculate [tex] \sin 37^\circ + \cos 53^\circ = ?[/tex]

[tex] 2 \times \sin 37^ \circ [/tex]

[tex] 2 \times \cos 53^\circ [/tex]

[tex] 2 \times \tan 37^\circ [/tex]

[tex] 2 \times \sin 37^ \circ [/tex] and [tex] 2 \times \cos 53^\circ [/tex]

Question 9 (2 points)

Let [tex] \sin \theta =0.2 [/tex] and [tex]0 \le \theta \le 90^\circ[/tex]. Find [tex]\cos ^2 \theta = ?[/tex]

0.94

0.95

0.96

0.97

Question 10 (2 points)

If [tex]\tan \theta =\frac{\sqrt{2}}{2}[/tex], what is the value of [tex]\cot \theta[/tex]?

[tex] \sqrt[4]{2} [/tex]

[tex] \frac{1}{2} [/tex]

[tex] \sqrt{2} [/tex]

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