set find the value of tan A×cot B
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Answer :-
6
Given :-
To find :-
SOLUTION :-
Firstly lets expand the L.H.S by the formulae
- sin(A-B) = sinA cosB + sinB cosA
- sin(A + B) = sinA cosB + sinB cosA
Substituting the values,
Do the cross multiplication
Transposing all terms to L.H.S
Keep like terms together
From trigonometric relations,
- sinA/cosA = tanA
- cosA/sinA = cotA
So, the Required answer is :-
Know more :-
Compound angles:-
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