Question

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 =

Answer 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.