Question

If 7cosecq-3cotq=7 prove that 7cotq -3cosecq=3

Answer 1

Answer:

Step-by-step explanation:

squaring both sides;

(7cosecq-3cotq)^2=(7)^2

or, 49cosec^2q+9cot^2-42cosecqcotq=49

or, 49(1+cot^2q)+9(cosec^2-1)-42cosecqcotq=49

or, 49+49cot^2q+9cosec^2-9-42cosecqcotq=49

or, 49cot^2+9cosec^2-42cosecqcotq=9

or, (7cotq)^2+(3cosecq)^2-2(7cotq)(3cosecq)=9

or, (7cotq-3cosecq)^2=(3)^2

or, 7cotq-3cosecq=3

(PROVED)