Find the value of the trigonometric function in the following:

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 Multiple Choice QuestionsShort Answer Type

21. The angles of a triangle are in A.P. and the number of degrees in the least angle is to the number of radians in the greatest angle is 60 : straight pi. Find the angles in degrees.
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22. Assuming the average distance of the earth from the sun to be 149,700,000 km, and the angle subtended by the sun at the eye of a person on the earth to be 32’, find the sun’s diameter.
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23. Find the angle between the minute hand of a clock and the hour hand when the time is 7:20 A.M.
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24. Find the values of other five trigonometric functions of the following:

cosx space equals space minus 1 half comma space straight x lies in third quadrant
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25. Find the values of other five trigonometric functions of the following:

sinx space equals space 3 over 5 comma space straight x lies in second quadrant
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26. Find the values of other five trigonometric functions of the following:

cotx space equals space 3 over 4 comma space space straight x lies in third quadrant


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27. Find the values of the trigonometric functions in the following:

sin space 765 degree

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28. Find the values of the trigonometric functions in the following:

cosec left parenthesis negative 1410 degree right parenthesis



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29. Find the value of the trigonometric function in the following:

tan open parentheses fraction numerator 19 straight pi over denominator 3 end fraction close parentheses








As 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.


tan open parentheses fraction numerator 19 straight pi over denominator 3 end fraction close parentheses space equals space tan open parentheses fraction numerator 19 straight pi over denominator 3 end fraction minus 6 left parenthesis straight pi right parenthesis close parentheses                         (∵ Period is space space space straight pi space equals space 180 degree)

                  equals space tan open parentheses fraction numerator 19 straight pi minus 18 straight pi over denominator 3 end fraction close parentheses space equals space tan open parentheses straight pi over 3 close parentheses space equals space square root of 3                 (From tables)


Hence,  tan open parentheses fraction numerator 19 straight pi over denominator 3 end fraction close parentheses space equals space square root of 3
                 




                     

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30. Find the value of the trigonometric function in the following:

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