Question

s(teta) = h sin (90-teta)/ sin(teta)
where h is height of the pole
a) Express s(teta) as a single trigonometric expression.
b) At what angle teta will give the shortest shadow of the pole? Longest shadow?
c) In triangle ABC, prove that: tan A + tan B + tan C = tan A tan B tan C

Answer 1

I can't figure out. Please help me. thanks

Answer 2

s(θ) = h sin (90-θ)/ sin(θ)
s(θ) = h cosθ/sinθ = h cotθ
cot(90) = 0 -- shortest shadow

google the equation for many proofs