Question

If sin (x-a) = k sin (x+a) express tan x in terms of k and a

Answer 1

Answer:

bc+

ck

1

+

1+bk

ak

Substituting values from

a

sinx

=

b

cosx

=

c

tanx

=k

we get

k

cosx

.

k

tanx

+

tanxk

k

+

1+

k

cosx

k

k

sinx

k

=

k

2

sinx

+

tanx

1

+

1+cosx

sinx

=

k

2

sinx

+

sinx

cosx

+

1+cosx

sinx

=

k

2

sinx

+

sinx

1

=

k

2

ak

+

ak

1

=

k

1

(a+

a

1

)