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

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

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change everything in terms of sin and cos
take lcm , simplify and then factorise using
a³ - b³ identity and then cancel off sinx-cosx
then split into two terms
answer and  some steps are given below
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identities, indices and surds


(trig. formulae
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 )

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) )




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