Question

If sin 2 theeta = cos 3 theeta then find tan 5 theeta

Answer 1

Answer:

Not defined .

Step-by-step explanation:

Here ,

I am using A instead of theta.

Sin 2A = cos 3A ( given )

=> Sin2A = Sin ( 90 - 3A )

=> 2A = 90 - 3A

=> 2A + 3A = 90

=> 5A = 90°

=> A = 90/5 ----( 1 )

tan 5A = tan( 5 × 90/5 )

= tan 90°

= Not defined

••••

Answer 2

Answer:

if sin2x = cos3x

then sin2x = sin( 90 - 3x )

             2x = 90 - 3x

              5x = 90

                 x = 18

           so tan5x = tan18*5 = tan90 = infinity