Friday, December 19, 2008

trigonometry problem

show that 1/(1-cosx) =(cscx+cotx)cscx

start from the LHS, introduce the conjugate
simplify the denominator using identity then divide term by term

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index of math problems

trigonometry formulae

for some other examples
prove that (cotA+cosecA-1)/(cotA-cosecA+1)=cosecA+cotA -----> (problem on trigonometry )

Prove that (tanxsinx) / (tanx+sinx) = (tanx-sinx) / (tanx sinx) -----> (problem on trigonometry )

find exact value of tan[22½ °] or tan (pi / 8 ) -----> (problem on trigonometry )

find exact value of tan15° without using calculator --------value of tan15° without using calculator

conditional identity : If A+B+C=π,
prove that: sinA+sinB+sinC = cot(A/2).cot(B/2) [sinA+sinB-sinC] -----> (problem on conditional identity (trigonometry) )

graphs of trigonometric functions-----> (graphs of trigonometric functions )

prove that
{ tan((π/4)+x) - tan((π/4)-x)} / { tan((π/4)+x) + tan((π/4)-x) } = sin2x ---------trigonometry problem

prove that (cos²x - sin²x) / (cos²x + sinxcosx) = 1 - tanx -------------trigonometry problem

show that
tan(x)/[1-cot(x)] + cot(x)/[1-tan(x)]= 1+sec(x)csc(x) , x≠ n π /4 ---------trigonometry

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