Question

sin alpha is equal to a sin beta and Cos Alpha is equal to b cos beta then tan beta is equal to

Answer 1

sinα = a sinβ                                 ........1

cosα = b cosβ                               .........2

sinα/cosα = a sinβ/b cosβ

(Transposing a/b to the other side as b/a)

sinβ/cosβ = b sinα/a cosα

tanβ = b sinα/a cosα

☺ Hope this Helps ☺

Answer 2

sin alpha = a sin beta ......1
cos alpha = b cos beta .......2
Now,
sin alpha÷cos alpha =a sin beta ÷b cos beta
tan alpha = a÷b tan beta
tan beta =b sin alpha ÷ a cos alpha
Hope this will help you