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trigonometry

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can you explain to me in details please of how these type of questions can be answered without using a calculator to find the direct answer.

Find the following functions correct to five decimal places:

a. sin 22degrees 43'
b. cos 44degrees 56'
C. sin 79degrees 23'30'

  • trigonometry -

    my trig book has tables in degrees and minutes

    for example, look-up sin 24 deg 40 min and sin 24 deg 50 min. cal. the correction and add to the smaller angle for sin, tan, sec (subtract the correction for cos, cot, csc)

    sin 24d 40' = .4173
    sin 24d 50' = .4200
    difference = .0027

    actual minutes = 43'
    smaller angle above = 40'
    difference = 3' * .10 = .3000


    correction = .3000 * .0027 = .0008

    sin 24d 40' = .4173
    add correction .0008
    sin 24d 43' = .4181

    you try the others

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