Trigonometry - Ambitious

Question 1: Convert the angle

176 ° 15' 56''

to the decimal degree format

A

176.266

B

176.1556

C

176.1

D

176.2

Question 2: Convert the angle

18.315

to the degrees, minutes and seconds

A

18 ° 3' 15''

B

18 ° 19' 03''

C

18 ° 20' 15''

D

18 ° 18' 54''

Question 3: Convert

176 ° 15' 56''

to the radians to

2

d.p.

A

0.2 π

B

0.21 π

C

0.22 π

D

0.19 π

Question 4: Convert

3.42

radians to the degrees to

2

d.p.

A

195.95 °

B

196.05 °

C

200 °

D

195 °

Question 5: Find the value of

\cot (\frac{π}{3})

A

1.276

B

1.1124

C

0.5773

D

0.6732

Question 6: Find the value of

\cos 42 °

to

4

d.p.

A

0.7429

B

0.743

C

0.7413

D

0.7431

Question 7: Hypotenuse of the right angled triangle is

16.3

and one side of the triangle is

7.4

. Find the length of the other side

A

23.7

B

14.52

C

12.8

D

13.49

Question 8: Simplify the following identity:

\tan^{2} θ - \sin^{2} θ = \frac{\sin^{2} θ}{\cos^{2} θ} - \sin^{2} θ

A

\cos^{2} θ \csc^{2} θ

B

\tan θ

C

\sin^{4} θ \sec^{2} θ

D

\sin^{4} θ

Question 9: Simplify the following identity:

{(\sin θ - \cos θ)}^{2} + {(\sin θ + \cos θ)}^{2}

A

0

B

\sin θ - \cos θ

C

2

D

\sin θ

Question 10: Simplify the following identity:

1 - \frac{\sin θ \tan θ}{1 + \sec θ}

A

\sin θ

B

\cos θ

C

\tan θ

D

\sec θ

Test: Trigonometry - Ambitious

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