Question

if sin (x - 10) = cos (2x _ 40) then cot ( x - 10 ) equals

Answer 1

Step-by-step explanation:

Given, tan(cotx)=cot(tanx)=tan(

2

π

−tanx)

⇒cotx=nπ+

2

π

−tanx

⇒cotx+tanx=nπ+

2

π

⇒

sinxcosx

1

=nπ+

2

π

⇒

sin2x

1

=

2

nπ

+

4

π

⇒sin2x=

2

nπ

+

4

π

1

=

(2n+1)π

4

.