(sin^2x)(tan^2x)

Question

Answer 1

It's not clear what the problem is, but

here's a few equivalent expressions

)sin^2(x))(tan^2(x))

= sin^4(x)/cos^2(x)

=sin^2(x)sin^2(x)/cos^2(x)

= (1-cos^2(x)(1-cos^2(x)/cos^2(x)

= (1- 2cos^2(x) + cos^4(x))/cos^2(x)

=1/cos^2(x) - 2 + cos^2(x)

= sec^2(x) + cos^2(x) -2

or

= 2sinxcosx(tan^2(x))

= 2sinxcosx(4sin^2(x))/cos^2(x)

= 8sin^3(x)/cosx

=8tanxsin^2(x)

=8tanx(1-cos^2(x)

= 8tanx - 8tanxcos^2(x)

among other things it equals

or if the product = 0

then solve for x

if (sin^2(x))(tan^2(x)) = 0

then set each factor = 0

and solve for x

sin^2(x) = 0

sinx = 0

x = npi where n = any integer

tan^2(x) = 0

tanx = 0

x = npi where n = any integer

x= 0, +/-pi, +/-2pi, +/-3pi, +/-4pi, ...radians

or

x = 180n degrees, where n = any integer

x = 0, +/-180, +/-360, +/-540, +/-720, ...degrees