trigonometry question for exam
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HERE'S YOUR ANSWER MATE.
To prove
cos A/1–tanA + sinA/ 1– cot A= sinA+ cosA
LHS,
=cos A/ 1–sinA/ cos A+ sinA/ 1– cosA/sinA
[since, tanA= sinA/cosA and cot A= cosA/sinA]
cosA/ cosA – sinA/ cosA– sinA/ cosA– sinA/ sinA
=(cos²A–sin²A)/ cosA–sinA
=(cosA+sinA)(cosA–sinA)/ cosA–sinA
= cosA + sinA = RHS.
HENCE PROVED.
HOPE IT HELPS YOU
PLEASE MARK IT AS BRAINLEIST.
HERE'S YOUR ANSWER MATE.
To prove
cos A/1–tanA + sinA/ 1– cot A= sinA+ cosA
LHS,
=cos A/ 1–sinA/ cos A+ sinA/ 1– cosA/sinA
[since, tanA= sinA/cosA and cot A= cosA/sinA]
cosA/ cosA – sinA/ cosA– sinA/ cosA– sinA/ sinA
=(cos²A–sin²A)/ cosA–sinA
=(cosA+sinA)(cosA–sinA)/ cosA–sinA
= cosA + sinA = RHS.
HENCE PROVED.
HOPE IT HELPS YOU
PLEASE MARK IT AS BRAINLEIST.
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