Question

calculate sin 4a if tan 2a= -3/2

Answer 1

Step-by-step explanation:

sin4A+sin2A=1

⇔sin4A=1−sin2A=cos2A

or sin4Acos2A=1

or tan2A=1sin2A

or tan2A=csc2A

or tan2A=1+cot2A

Now multiplying each term by tan2A, we get

tan4A=tan2A+1

or tan4A−t