Question

If 5SinP=12CosP, find the value of CosecP

Answer 1

sin=5/13
cosec=1/sin
=1/5/13
=13/5

Answer 2

5 sin p = 12 cos p

5 sin p / sin p = 12 cos p /sin p

5 =  12 cot p

5/12 = cot p .. .. .. eq(1)

as we know , 1+cot ^2 p = cosec ^ p

by putting value of eq (1)

we get

1 + (5/12)^=cosec^2 p

cosec^2 p= 1+ 25/144

cosec^2 p = (144+25)/144

cosec^2 p = 169/144

by taking squareroot

cosec p = 13/12