Principle of Mathematical Induction

Principle of Mathematical Induction

Question

Find the values of the trigonometric functions in the following:

sin space 765 degree

Answer

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#6 {main}</pre>

∴  We may add or subtract an integral multiple of 2 straight pi space or space 360 degree to convert the angle to an acute angle. Also, tanx and cotx are periodic functions of period straight pi space left parenthesis 180 degree right parenthesis.
Therefore, we may add or subtract an integral multiple of straight pi to convert the angle to an acute angle.
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#6 {main}</pre>                     (∴ The Period is 2 straight pi space equals space 360 degree)
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#6 {main}</pre> (From tables)
Hence,   sin left parenthesis 765 degree right parenthesis space equals space fraction numerator 1 over denominator square root of 2 end fraction

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