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# Trigonometry Questions - All Grades

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This question is a part of a group with common instructions. View group »

For which category of triangles is this proof valid?
1. All triangles.
2. Acute triangles.
3. Non-right triangles.
4. Obtuse triangles.

This question is a part of a group with common instructions. View group »

The proof given applies to which type of triangles?
1. All triangles.
2. Acute triangles.
3. Non-right triangles.
4. Scalene triangles.
$Delta XYZ$ is a right triangle and $ang Y$ is a right angle. If $cos(2X) = sin(X)$, what are the measures of the acute angles in this triangle?
1. The angles measures are 30° and 60°.
2. The angle measures are 22.5° and 45°.
3. Only the measure of $ang X$ can be determined, and it is 30°.
4. There is no such triangle.
What is the exact value of $cos(105°) ?$
1. $(sqrt(2)-sqrt(6))/4$
2. $-(sqrt(2)+sqrt(6))/4$
3. $-1/2 + sqrt(6)/4$
4. $(sqrt(6)-sqrt(2))/4$
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. $-sqrt(110)/11$

$45deg$
1. $pi/4$
2. $pi/5$
3. $sqrt2/2pi$
4. none of the above
For $-pi/2 <= theta <= pi/2$, solve $sin(theta) = sqrt(2)/2$.
1. $-pi/4$
2. $pi/4$
3. $(3pi)/4$
4. $pi/3$
If AC is 15, AB is 17, and BC is 8, then find $cos(B)$.
1. $8/15$
2. $15/8$
3. $8/17$
4. $15/17$