cos2θ=1−We know that the maximum valueof cos2θ is 1. Therefore, p and q cannot have opposite signs. Thus, p and q are the same.
cos2θ=1−(+)If
(+) is more than 2, then
cos2θ will be negative, and that is not possible. So, either both p, q are positive or negative. The minimum value of
(+) is 2 and this will happen when p = q.
Thus, statement 1 is correct.
tan2θ=−1=−1If
(+) is more than 2, then
tan2θ will be negative and that is not possible. So, either both p, q are positive or negative. The minimum value of
(+) is 2 and this will happen when p = q.
Thus, statement 2 is also correct.