1. The given triangle ABC, has a right angle at C, BC=11, and

Ans: A

2. The reference angle is the angle the terminal side makes with x-axis.

This implies that, has a reference angle of .

Ans: C

3. Let x be the shortest distance the ramp can span.

From the diagram;

Ans:B

4. Use the Pythagorean identity: .

If ,then

, In QII, the secant ratio is negative.

Ans:C

5. We have

Ans:A and D

6. The given function that is equivalent to is .

When we reflect the graph of in the y-axis and shift it to the left by units, it coincides with graph of .

Ans:C

7. The function is a one-to-one function on the interval

When we restrict the domain of on it becomes an invertible function.

Ans: C

8. The given function is

The horizontal shift is given by

The direction of the shift is to the right.

Ans:D

9. by the symmetric property of even functions.

Ans: B

10. Recall the cosine rule:

Let the angle measure opposite to the longest side be A, then a=19,b=17, and c=15.

Ans:B

11. We want to solve on the interval;

Factor:

Either

Or This means that

Therefore required solution is

Ans:D

12. Use the relation: and

The given rectangular coordinate is (1,-2)

This implies that:

This means or

The polar forms are: and

Ans: B and C

13. The polar equation that represents an ellipse is

.

When written in standard form; .

The eccentricity is .

Therefore the is an ellipse.

Ans: B

14. The DeMoivre’s Theorem states that;

This implies that:

Ans: A

15. Let the initial point be (x,y), Then .

If x=-8, and y=-4.

Then, .

.

Ans: B

16. We find the dot product to see if it is zero.

Since the dot product is not zero the vectors are not orthogonal

Ans:B

17. Given v=5i+4j, w=2i-3j.

u=v+w

Add corresponding components

This implies u=(5i+4j)+(2i-3j)

u=(5i+2i+4j-3j)

u=7i+j

Ans:B

See attachment.