Question

if sin^2A + sin^4 A = 1, then tan ^4 A- tan ^2 A is??

Answer 1

Answer:

Probably you mean if  

sin

2

A

+

sin

4

A

=

1

, then  

tan

2

A

−

tan

4

A

=

1

. The proof is as follows:

sin

2

A

+

sin

4

A

=

1

⇔

sin

4

A

=

1

−

sin

2

A

=

cos

2

A

or  

sin

2

A

cos

2

A

=

1

sin

2

A

or  

tan

2

A

=

csc

2

A

or  

tan

2

A

=

1

+

cot

2

A

multiplying each term by  

tan

2

A

we get

tan

4

A

=

tan

2

A

+

1

or  

tan

4

A

−

tan

2

A

=

1

Answer 2

Don’t know bro sorry