Simplify The expression as much as possible 1sin2x tan2x c

Simplify The expression as much as possible 1/sin^2(x) + tan^2(x) + cos^2 (x) + sin^2(x)

Solution

1/(sin²x+ tan²x+cos²x) + sin²x

sin²x+cos²x=1

1/(1+tan²x) + sin²x

1 + tan²x=sec²x

1/sec²x    +    sin²x

and 1/sec²x=cos²x

cos²x + sin²x=1

and that \'s the answer