What is $${{1 - \tan 2^\circ \cot 62^\circ } \over {\tan 152^\circ - \cot 88^\circ }}$$ equal to?

Consider the function $$f(\theta ) = 4({\sin ^2}\theta + {\cos ^4}\theta )$$

What is the maximum value of the function $$f(\theta )$$ ?

Consider the function $$f(\theta ) = 4({\sin ^2}\theta + {\cos ^4}\theta )$$

What is the minimum value of the function f($$\theta$$) ?

Consider the function $$f(\theta ) = 4({\sin ^2}\theta + {\cos ^4}\theta )$$

Consider the following statements

1. $$f(\theta ) = 2$$ has no solution.

2. $$f(\theta ) = {7 \over 2}$$ has a solution.

Which of the above statement(s) is/are correct?