1.1 Unit circle practice 1

1. Question

Write the letter (A-U) that matches each expression.

(A) [math]0[/math]	(B) [math]\dfrac{1}{2}[/math]	(C) [math]\dfrac{\sqrt{2}}{2}[/math]	(D) [math]\dfrac{\sqrt{3}}{2}[/math]	(E) [math]1[/math]
(F) Undefined	(G) [math]-\dfrac{1}{2}[/math]	(H) [math]\dfrac{-\sqrt{2}}{2}[/math]	(I) [math]\dfrac{-\sqrt{3}}{2}[/math]	(J) [math]-1[/math]
(K) [math]\sqrt{2}[/math]	(L) [math]\dfrac{2}{\sqrt{3}}[/math]	(M) [math]\sqrt{3}[/math]	(N) [math]2[/math]	(O) [math]\dfrac{1}{\sqrt{3}}[/math]
(P) [math]-\sqrt{2}[/math]	(Q) [math]-\dfrac{2}{\sqrt{3}}[/math]	(R) [math]-\sqrt{3}[/math]	(S) [math]-2[/math]	(T) [math]-\dfrac{1}{\sqrt{3}}[/math]
(U) None of the above

(a) [math]\sin60^\circ=[/math] Fill in the blank 1 of 10

(b) [math]\cos225^\circ=[/math]Fill in the blank 2 of 10

(c) [math]\tan270^\circ=[/math]Fill in the blank 3 of 10

(d) [math]\cos180^\circ=[/math]Fill in the blank 4 of 10

(e) [math]\sin450^\circ=[/math]Fill in the blank 5 of 10

(f) [math]\tan0^\circ=[/math]Fill in the blank 6 of 10

(g) [math]\sin300^\circ=[/math] Fill in the blank 7 of 10

(h) [math]\tan720^\circ=[/math] Fill in the blank 8 of 10

(i) [math]\sin315^\circ=[/math] Fill in the blank 9 of 10

(j) [math]\cos(-900^\circ)=[/math] Fill in the blank 10 of 10

2. Question

Let [math]\sin\theta=\displaystyle{\frac{3}{5}}[/math] where [math]90^\circ<\theta<180^\circ[/math], find [math]\cot\theta, \sec\theta[/math].

[math]\cot\theta=[/math]Fill in the blank 1 of 2 , [math]\sec\theta=[/math]Fill in the blank 2 of 2

3. Question

Let [math]\tan\theta=-2[/math] where [math]180^\circ<\theta<360^\circ[/math], find [math]\csc\theta\cdot\sec\theta[/math].

Fill in the blank 1 of 1

4. Question

If [math]\cot43^\circ = k[/math], what is [math]\sec137^\circ[/math]?

[math]\dfrac{\sqrt{1+k^2}}{k}[/math]

Correct Incorrect Correct answer

[math]\dfrac{\sqrt{1+k^2}}{-k}[/math]

Correct Incorrect Correct answer

[math]\sqrt{1+k^2}[/math]

Correct Incorrect Correct answer

[math]-\sqrt{1+k^2}[/math]

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

5. Question

If [math]\cot43^\circ = k[/math], what is [math]\sin(-47^\circ)[/math]?

[math]\dfrac{1}{\sqrt{1+k^2}}[/math]

Correct Incorrect Correct answer

[math]\dfrac{-1}{\sqrt{1+k^2}}[/math]

Correct Incorrect Correct answer

[math]\dfrac{k}{\sqrt{1+k^2}}[/math]

Correct Incorrect Correct answer

[math]\dfrac{-k}{\sqrt{1+k^2}}[/math]

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

6. Question

Let [math]\theta = 110^\circ[/math].

(a) What is the reference angle, in degrees, of [math]\theta[/math]?

(b) Which of the following expression represents all the positive coterminal angles of [math]\theta[/math]?
(A) [math]110^\circ+360^\circ\cdot k[/math] where [math]k\in\mathbb{N}[/math]
(B) [math]110^\circ+360^\circ\cdot k[/math] where [math]k\in\mathbb{Z}[/math]
(C) [math]110^\circ+360^\circ\cdot k[/math] where [math]k\in\mathbb{R}[/math]
(D) None of the above

(a) Fill in the blank 1 of 2

(b) Fill in the blank 2 of 2

7. Question

Observe the figure above. Suppose [math]\displaystyle{\sin\theta=\frac{3}{4}}[/math]. If [math]BC=3(\sqrt{a}+\sqrt{b})[/math] where [math]a[/math] and [math]b[/math] are integers and [math]a<b[/math], what are [math]a[/math] and [math]b[/math]?

[math]a=[/math]Fill in the blank 1 of 2 and [math]b=[/math]Fill in the blank 2 of 2

8. Question

The point [math](-2,-1)[/math] is on the terminal sided of [math]\theta[/math].

(a) Find the reference of [math]\theta[/math].
(A) [math]\theta[/math]
(B) [math]-\theta[/math]
(C) [math]180^\circ-\theta[/math]
(D) [math]\theta-180^\circ[/math]
(E) None of the above

(b) Which of the following points is on the terminal sided of [math]\theta-90^\circ[/math]?
(A) [math](-2,1)[/math]
(B) [math](2,-1)[/math]
(C) [math](1,-2)[/math]
(D) [math](-1,2)[/math]
(E) None of the above

(a) Fill in the blank 1 of 2

(b) Fill in the blank 2 of 2

9. Question

Let [math]\cot\theta = \displaystyle{\frac{3}{5}}[/math], find [math]\displaystyle{\frac{\cos\theta – \sin\theta}{\cos\theta + \sin\theta}}=[/math]

Fill in the blank 1 of 1

10. Question

If [math]\cos130^\circ=m[/math], which of the following expression is [math]\sin220^\circ[/math]?

[math]\sqrt{1-m^2}[/math]

Correct Incorrect Correct answer

[math]-\sqrt{1-m^2}[/math]

Correct Incorrect Correct answer

[math]\sqrt{m^2-1}[/math]

Correct Incorrect Correct answer

[math]-\sqrt{m^2-1}[/math]

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

11. Question

If [math]\cos130^\circ=m[/math], which of the following expression is [math]\tan40^\circ[/math]?

[math]\dfrac{m}{\sqrt{1-m^2}}[/math]

Correct Incorrect Correct answer

[math]-\dfrac{m}{\sqrt{1-m^2}}[/math]

Correct Incorrect Correct answer

[math]\dfrac{\sqrt{1-m^2}}{m}[/math]

Correct Incorrect Correct answer

[math]-\dfrac{\sqrt{1-m^2}}{m}[/math]

Correct Incorrect Correct answer

None of the above

Correct Incorrect Correct answer

12. Question

Let [math]\theta=-610^\circ[/math].

The maximum negative coterminal of [math]\theta[/math] is Fill in the blank 1 of 2 degrees.
The minimum positive coterminal of [math]\theta[/math] is Fill in the blank 2 of 2 degrees.

13. Question

The point [math](2,-1)[/math] is on the terminal sided of [math]\theta[/math]. What is the value of [math]\sec\theta\cdot\sin\theta[/math]?

Fill in the blank 1 of 1

1.1 Unit circle practice 1

Quiz Summary

Information

Results

Results

Categories

1. Question

2. Question

3. Question

4. Question

5. Question

6. Question

7. Question

8. Question

9. Question

10. Question

11. Question

12. Question

13. Question

Free Practice Test and Analysis

Analyze my SAT weakness now — for FREE

Try SAT Math practice test now — for FREE