Quiz about Trignometry Identities_SC

Question 1

$$Simplify\ \frac{1}{\csc\ x}\cdot\sin x$$

Accepted Answer

$$\sin^2x$$

Answer

1

Answer

$$\csc x$$

Answer

$$\cos^2x$$

Question 2

Is this a pythagorean identity?
tan²x + 1 = secx

Accepted Answer

No

Answer

Yes

Question 3

What is csc(x) equivalent to?

Accepted Answer

1/sin(x)

Answer

1/tan(x)

Answer

sin(x)

Answer

1/cos(x)

Question 4

Which of the following is not a pythagorean identity?

Accepted Answer

csc²x + 1 = cot²x

Answer

cot²x + 1 = csc²x

Answer

cot²x - csc²x = -1

Answer

csc²x - cot²x = 1

Question 5

$$\frac{ an x}{\sec x}$$

Accepted Answer

$$\sin x\ $$

Answer

$$\cos x$$

Answer

$$\csc x$$

Answer

$$\cot x$$

Question 6

Simplify...

$$\frac{ an\left(\Theta ight)}{\sec\left(\Theta ight)}$$

Accepted Answer

$$\sin\left(\Theta\right)$$

Answer

$$\cos\left(\Theta\right)$$

Question 7

Simplify...

$$\cos\left( heta ight)+\sin\left( heta ight) an\left( heta ight)$$

Accepted Answer

$$\sec\left( heta ight)$$

Answer

$$\csc\left( heta ight)$$

Question 8

Simplify...

$$\frac{\cot\left( heta ight)\sin\left( heta ight)}{\cos\left( heta ight)}$$

Accepted Answer

1

Answer

$$\sec\left( heta ight)$$

Question 9

Simplify.

$$\left(\csc\ \alpha\ -\ 1\right)\left(\csc\ \alpha+1\right)$$

Accepted Answer

cot2x

Answer

tan2x

Answer

sinx

Answer

cosx

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