Quiz about Chapter 9 Trigonometric Relations

Question 1

$$\frac{ an60\degree+\cos45\degree}{\cos30\degree-\sin45\degree}=$$

Accepted Answer

$$8+3\sqrt[]{6}$$

Answer

1

Answer

$$4+\sqrt[]{6}$$

Answer

$$4-\sqrt[]{6}$$

Question 2

Question 2.

Accepted Answer

$$30\degree$$

Answer

$$45\degree$$

Answer

$$60\degree$$

Answer

$$75\degree$$

Question 3

Question 3.

Accepted Answer

$$\left(\sqrt[]{3}-1\right):1$$

Answer

1 : 2

Answer

$$1:\sqrt[]{3}$$

Answer

$$\left(\sqrt[]{3}-1\right):\sqrt[]{3}$$

Question 4

Given that tanx = 1/6, where x is an acute angle,

find the value of sinx cos x

Accepted Answer

6/37

Answer

1/7

Answer

6/7

Answer

1/37

Question 5

Given that tanx = 1/z, where x is an acute angle,

express sinx - cos x in terms of z.

Accepted Answer

$$\frac{1-z}{\sqrt[]{1+z^2}}$$

Answer

$$\frac{z-1}{\sqrt[]{1+z^2}}$$

Answer

$$\frac{1+z}{\sqrt[]{1+z^2}}$$

Answer

0

Question 6

$$\frac{\cos heta-\cos^3 heta}{\sin^2 heta}=$$

Accepted Answer

$$\cos heta$$

Answer

1

Answer

$$\frac{1}{ an heta}$$

Answer

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

Question 7

$$\sin^4 heta-\cos^4 heta=$$

Accepted Answer

$$1-2\cos^2 heta$$

Answer

1

Answer

$$1-2\sin^2 heta$$

Answer

$$1-2\sin heta\cos heta$$

Question 8

Given that sinx cosx = 0.2, where x is an acute angle,

find the value of (sinx - cosx)².

Accepted Answer

0.6

Answer

0.8

Answer

1.2

Answer

1.4

Question 9

Question 9.

Accepted Answer

I and III only

Answer

I and II only

Answer

II and III only

Answer

I, II and III

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