Trigonometry

Given that sin(2/(√229))and that 0∘0∘ < θθ < 90∘90∘, with the aid of a diagram and without the use of a calculator determine:
a) cosθcos⁡θ =

b) tanθtan⁡θ =

c) tanθ÷cscθtan⁡θ÷csc⁡θ =

d) sinθ÷cosθsin⁡θ÷cos⁡θ =

e) tanθ secθtan⁡θ sec⁡θ =

f) 8sinθ −1cos2θ8sin⁡θ −1cos2⁡θ =

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  1. Your triangle has
    y=2
    r=√229
    so, x=15

    Now, all you need to remember is that
    sinθ = y/r
    cosθ = x/r
    tanθ = y/x

    Now just plug and chug, remembering your double-angle identities.

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