# Trigonometry

Complete the test and get an award.

Problem #1
Which of the following is NOT true?

Problem #2
Which of the following is NOT correct?

Problem #3
True or false?
$\sin 25^\circ + \sin 65^\circ = \sin 90^\circ$?

Problem #4
Which of the following is correct for all values of $\theta$?

Problem #5
In the triangle‎ $ABC$, $\sin B= x$. What is the value of $\cos C$?

Problem #6
If $\tan \theta = \frac{4}{3}$ and $0 \le \theta \le 90^\circ$, what is the value of $\cos \theta$?

Problem #7
If $\sin \theta = \frac{12}{13}$, what is the value of $\cot \theta$?

Problem #8
Calculate $\sin 37^\circ + \cos 53^\circ = ?$

Problem #9
Let $\sin \theta =0.2$ and $0 \le \theta \le 90^\circ$. Find $\cos ^2 \theta = ?$

Problem #10
If $\tan \theta =\frac{\sqrt{2}}{2}$, what is the value of $\cot \theta$?

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