Question

If tan 0 =12/5
then value of sin
will be:​

Answer 1

Answer:

3√41/12

Step-by-step explanation:

tan0=12/15

thus,

squaring both side

tan²∅=(12/15)²

=(144/225)

tan²∅=1/cot²∅

thus ,cot²∅=225/144

thus,using trigonometric identity

1+cot²∅=cosec²∅

1+225/144=cosec²∅

144+225/144=cosec²∅

369/144=cosec²∅

cosec²∅=369/144

cosec∅=√369/144

cosec∅=3√41/12

thus,sin∅=1/cosec∅

sin∅=1/(3√41/12)

sin∅=12/3√41