Quiz about 12-Diplomacy TERM 2 Finals Reviewer

Question 1

What should be the value of q to make this $$x^2+2x+1=q$$ an identity equation?

Accepted Answer

$$(x+1)(x+1)$$

Answer

$$(x-1)(x-1)$$

Answer

$$(x+1)(x-1)$$

Answer

$$(x+1)(x-2)$$

Question 2

What is the appropriate conditional statement can be form in the picture below?

Accepted Answer

If you woke up early, then you can attend online class on time.

Answer

If you will not wake up early, then you can attend online class on time.

Answer

Attend online class on time.

Answer

Woke up early

Question 3

Which of the following is the Pythagorean Identities?

Accepted Answer

$$\cos^2⁡θ+\sin^2θ=1$$

Answer

$$1- an^2⁡θ=\sec^2θ$$

Answer

$$ an^2⁡θ+\cot^2θ=1$$

Answer

$$1+\cot^2θ=\sin^2⁡θ$$

Question 4

What is the value of a and d as we find the range of the circular function in interval notation form $$y=3\cos(2θ-\pi)+5$$

Accepted Answer

a=3, d=5

Answer

a=3, d=2

Answer

$$a=3,d=\pi$$

Answer

a=5, d=3

Question 5

What is the relationship between the measure of the central angle (in radians) and the length of the arc subtended by the radius of a unit circle?

Accepted Answer

$$s=rθ$$

Answer

$$2s=rθ$$

Answer

$$s=r^2θ$$

Answer

$$s=2r$$

Question 6

Consider the derivation, what identity used?

Accepted Answer

Cosine Sum and Sine Sum Identities

Answer

Co-function Identity

Answer

Ratio Identity

Answer

Reciprocal Identity

Question 7

The _____________ of two angles is equal to the product of sine of the first and the cosine of the second plus the product of the cosine of the first and the sine of the second

Accepted Answer

Sine Sum Identity

Answer

Cosine Difference Identity

Answer

Sine Difference Identity

Answer

Cosine Sum Identity

Question 8

The _____________ of two angles is the sum of the product of their cosines and the product of their sines.

Accepted Answer

Cosine Difference Identity

Answer

Sine Difference Identity

Answer

Cosine Sum Identity

Answer

Sine Sum Identity

Question 9

What is the period of the circular function?

$$y=-\frac{1}{3}\cos⁡(\frac{ ext{1}}{2}x+\frac{\pi}{3})$$

Accepted Answer

$$4\pi$$

Answer

$$\frac{3\pi}{2}$$

Answer

$$2\pi$$

Answer

$$\pi$$

Question 10

What is the domain of the circular function in interval notation form

$$y=3\cos(2θ-\pi)+5$$

Accepted Answer

$$(-∞,∞)$$

Answer

$$(∞,-∞)$$

Answer

$$(3,∞)$$

Answer

$$(-3,∞)$$

Question 11

What is the domain of this circular function $$y=\cosθ$$ ?

Accepted Answer

$$D:θ|θ∈R$$

Answer

$$D:x|x∈R$$

Answer

$$y|y∈R$$

Answer

$$D:θ|θ∉R$$

Question 12

If , $$\cos⁡x=-\frac{4}{5}$$ what is sec x?

Accepted Answer

$$-\frac{5}{4}$$

Answer

$$\sqrt{(}3/2)$$

Answer

$$-\frac{3}{5}$$

Answer

$$\frac{5}{3}$$

Question 13

Which among the following is the graph of sin function?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 14

Which one is the Reciprocal Identities?

Accepted Answer

$$\frac{1}{\sin heta}=\csc heta$$

Answer

$$\frac{\sin heta}{\cos\ heta}= an heta$$

Answer

$$\frac{1}{\cos heta}=\csc heta$$

Answer

$$\frac{\sin heta}{\cos heta}=\cot heta$$

Question 15

What is the error in the solution below?

Accepted Answer

$$\frac{\cot heta}{\sin heta}$$

Answer

$$\cos heta$$

Answer

$$\cot heta$$

Answer

$$\sin heta$$

Question 16

Which one is the Quotient Identities

Accepted Answer

$$\frac{\sin heta}{\cos heta}= an heta$$

Answer

$$\frac{1}{\sin heta}=\csc heta$$

Answer

$$\frac{1}{\cos heta}=\csc heta$$

Answer

$$\frac{\sin heta}{\cos heta}=\cot heta$$

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