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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.

Take $straight theta space equals space 60 degree$
Then $sinθ space equals space sin 60 degree space equals space fraction numerator square root of 3 over denominator 2 end fraction$
and $cosθ space equals space cos space 60 degree space equals space 1 half$
So, sin θ ≤θ cos θ
Hence, this statement is false.