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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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fraction numerator sin space 18 degree over denominator cot space 72 degree end fraction space equals space fraction numerator sin space left parenthesis 90 degree minus 72 degree right parenthesis over denominator cos space 72 degree end fraction space equals space fraction numerator cos space 72 degree over denominator cot space 72 degree end fraction space space space space space space space space space space space space space space space space space space equals space 1. space space space space space space space space space space space space space space space space space space space space space space space space space left square bracket because space space sin space left parenthesis 90 degree minus straight theta right parenthesis space equals space cos space straight theta right square bracket

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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.

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30.

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

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