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# Trigonometry Questions - All Grades

You can create printable tests and worksheets from these Trigonometry questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

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What is the value of $sin ((3pi)/2)$?
1. $-1$
2. $sqrt2/2$
3. $1$
4. $1/2$
What is the exact value of $tan(255°) ?$
1. $-2-sqrt(3)$
2. $-2+sqrt(3)$
3. $2-sqrt(3)$
4. $2+sqrt(3)$
If $tan(theta) = sqrt(11)/11$ and $pi < theta < (3pi)/2$, what is the value of $sec(theta) ?$
1. $-(2sqrt(33))/11$
2. $sqrt(110)/11$
3. $(2sqrt(33))/11$
4. $-sqrt(110)/11$
If $sin(theta)=7/25$, what is $tan(theta)$?
1. $7/24$
2. $24/25$
3. $7/8$
4. $24/7$
Choose the function that has a period of $3pi$, an amplitude of $4$, and a midline of $y = 1$.
1. $f(x) = 4sin(2/3 x) + 1$
2. $f(x) = 4sin(3pi x) + 1$
3. $f(x) = 2sin(3pi x) + 2$
4. $f(x) = 2sin(2/3 x) + 2$
For $-pi/2 <= theta <= pi/2$, solve $sin(theta) = sqrt(2)/2$.
1. $-pi/4$
2. $pi/4$
3. $(3pi)/4$
4. $pi/3$
The cosine function is
1. even.
2. odd.
3. either.
4. neither.
Which of the following is true concerning the law of sines and right triangles?
1. The law of sines is not valid for right triangles.
2. The law of sines can only be proved for the acute angles of a right triangle.
3. The law of sines can be easily proved for a right triangle, using trig ratios and the fact that $sin(90°)=1$.
4. The law of sines can proved for a right triangle, and the easiest proof involves the use of the Pythagorean Theorem and the formula for the area of a triangle.
Solve $tan(theta) = 1$ on the interval $(-pi/2, pi/2)$.
1. $pi/3$
2. $pi/2$
3. $pi/4$
4. $-pi/4$