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Introduction to Trigonometry

Short Answer Type

21. State whether the following are true false. Justify your answer.
The value of sin θ increases as θ increases.

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22. State whether the following are true false. Justify your answer.
The value of cos θ increases as θ increases.

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23. State whether the following are true false. Justify your answer.
sin θ = cos θ for all values of θ.

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24. State whether the following are true false. Justify your answer.
cot A is not defined for A = 0°.

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25. Evaluate:

fraction numerator sin space 18 degree over denominator cot space 72 degree end fraction

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26. Evaluate:

fraction numerator tan space 26 degree over denominator cot space 64 degree end fraction

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27. Evaluate:

cos space 48 degree space minus space sin space 42 degree

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28. Evaluate:

cosec space 31 degree space minus space sec space 59 degree.

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29.
Show that:
tan 48° tan 23° tan 42° tan 67° = 1.

LHS
= tan 48° . tan 23°. tan 42° . tan 67°
= tan 48° . tan 42° . tan 23° . tan 67°
= tan (90° - 42°). tan 42°. tan (90° - 67°). tan 67°
= cot 42° . tan 42° . cot 67° . tan 67°
= 1 x 1 = 1 = RHS Proved.

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30.

Show that:
cos 38° cos 52° - sin 38° sin 52° = 0.

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Previous Year Papers

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Test Yourself

Short Answer Type

29. Show that:tan 48° tan 23° tan 42° tan 67° = 1.

29.
Show that:
tan 48° tan 23° tan 42° tan 67° = 1.