If 6cot A + 2cosec A = cot A+ 5cosec A. Find sin A
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6cotA+2cosecA=cotA+5cosecA
or, 6cotA-cotA=5cosecA-2cosecA
or, 5cotA=3cosecA
or, 5(cosA/sinA)=3(1/sinA)
or, 5cosA=3
or, cosA=3/5
sin²A+cos²A=1
or, sin²A=1-cos²A
or, sin²A=1-(3/5)²
or, sin²A=1-9/25
or, sin²A=16/25
or, sinA=4/5 (neglecting the negative sign)
or, 6cotA-cotA=5cosecA-2cosecA
or, 5cotA=3cosecA
or, 5(cosA/sinA)=3(1/sinA)
or, 5cosA=3
or, cosA=3/5
sin²A+cos²A=1
or, sin²A=1-cos²A
or, sin²A=1-(3/5)²
or, sin²A=1-9/25
or, sin²A=16/25
or, sinA=4/5 (neglecting the negative sign)
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