Quiz about PC: 7.2 Check

Question 1

Simplify using an identity:

$$ an\left(\frac{\pi}{2}-x ight)$$

Accepted Answer

cot(x)

Answer

sin(x)

Answer

cos(x)

Answer

-cot(x)

Question 2

Rewrite using a trig identity:

$$\sec x=$$

Accepted Answer

$$\frac{1}{\cos x}$$

Answer

$$\cos x$$

Answer

$$\frac{1}{\sin x}$$

Answer

$$\frac{1}{\cot x}$$

Question 3

Rewrite as a single value or single trig identity:

$$\cot\left(-x\right)\cdot\sec\left(x\right)$$

Accepted Answer

$$-\csc\left(x\right)$$

Answer

$$-\sin\left(x\right)$$

Answer

$$-\frac{1}{\csc\left(x\right)}$$

Answer

$$\csc\left(x\right)$$

Question 4

Select ALL correct re-writes of the following pythagorean identity:

$$ an^2x+1=\sec^2x$$

Accepted Answer

$$\sec^2x-1= an^2x$$

Accepted Answer

$$\sec^2x- an^2x=1$$

Accepted Answer

$$ an^2x-\sec^2x=-1$$

Answer

$$\sec^2x+1= an^2x$$

Answer

$$1-\sec^2x= an^2x$$

Question 5

Select ALL expressions that simplify to $$ an x$$

Accepted Answer

$$\frac{\sin x}{\cos x}$$

Accepted Answer

$$\frac{1}{\cot x}$$

Accepted Answer

$$\sin x\cdot\sec\left(-x\right)$$

Accepted Answer

$$\cot\left(\frac{\pi}{2}-x\right)$$

Answer

$$ an\left(-x ight)$$

Question 6

Simplify:

$$\left[\sin^2x+\cos^2x\right]+\left[\csc^2x-\cot^2x\right]$$

Accepted Answer

2

Answer

1

Answer

0

Answer

$$	an^2x$$

Question 7

TRUE or FALSE:

$$\cot\left(-x\right)=\frac{-\cos x}{-\sin x}$$

Accepted Answer

FALSE

Answer

TRUE

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