Question

Sin square theta cos square theta (1 +tan Sq theta) (1+cot Sq theta)

Answer 1

Answer:

(sin² theta)(cos²theta) (1+ tan²theta) (1+cot²theta)

as we know,

1+tan²theta = sec²theta

and 1+ cot² theta = cosec²theta

then,

(sin²theta)(cos²theta)(sec² theta)(cosec²theta)

and sec²theta = 1/cos²theta

cosec²theta = 1/sin²theta

then, sin²theta cos²theta/sin²theta cos²theta =1