I'm not sure the working step.
tan x + tan y = sin(x + y) / cos x + tan y
This my ans;
LHS = sin x cos y + cos x sin y / cos x cos y
= sin x + sin y
= tan x + tan y
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I think you may have copied this down wrong.
Do you mean sin(x+y)/[cos(x) + tan(y)] instead?
The identity written is not true. Please recheck the question.
sorry for typing error.
The que: tan x + tan y = sin(x + y) / cos x + cos y
Again it is wrong. Check the Dinominator.
I think RHS would be having cosx cos y in the denominator.
write tanx and tany in the form of sinx / cosx and siny/cosy. take LCM and use the formula for sum of angles the numerator and you have the result.
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