X Trigonometry

Free Paper from cbsemath.com chapter Trigonometry

Time 1 h 15 min

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MM 40

Prove the following identities 1.

tan   sec o  1 1  sin   tan   sec   1 cos 

2.

( sin  +cosec  )2  cos   sec    7  tan2   cot2 

2

3. 4.

1 1 1 1    sec   cot  sin  sin  cos ec    cot  cos A sin A sin A cos A  1  1  sin A 1  cos A 1  sin A  1  cos   

5.

2 cos2   1  cot   tan  sin  sin 

6.

Evaluate without using tables Sec210  +

7. 8.

Express sin 73   cos 70   tan 68 in terms of angles between 0 and45 Prove tan 1  tan 2 tan ... tan 87  tan 88  tan 89   1

9.

sec   1  1  sin   cos   Prove    sec   1  1  sin   cos   

sin15 cos 75  cos15 sin 75 cos  sin  90     sin  cos  90   

2

10.

1  cos   cos ec1  cot  1  cos 

Each 4 marks

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Free Paper from cbsemath.com chapter Trigonometry