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prove that (sinx/(1-cotx)) - (cosx/(tanx-1)) = sinx + cosx
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hmm what would be the basic trig identity of cotangent?
on LHS take first term- chnge it to sin and cos \[\sin x/1-(\frac{ cosx }{ sinx })= \frac{ \sin^2x }{ sinx-cosx }\] now do the same with the 2nd term \[ -\frac{ \cos^2x }{ sinx-cosx }\] can you see it from here??
No, I can't
hmm what would be the basic trig identities for cot and tan functions?
ok put terms together \[(\sin^2x-\cos^2x)/sinx-cosx\] see where to go now??
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yes, Thank you!
good job!!
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