Question

Find the maximum value of 1-sec^4 theta-2sec^2 theta

Answer 1

Answer:

The maximum value of 1-sec^4 theta-2sec^2 theta = -2

Step-by-step explanation:

1 - sec^4∅ - 2sec²∅

= - ( sec^4∅ + 2sec²∅ - 1 )

= - ( ( sec²∅)² + 2sec²∅ - 1 )

= - ( sec²∅ + 1² + 2sec²∅ - 2 )

= - ( ( sec²∅ + 1 )² - 2 )

= 2 - ( sec²∅ + 1 )²

we know that 1 <= sec∅ < ∞

so, the minimum value = 2 - (1 + 1)^2 = -2

Then, the maximum value of 1-sec^4 theta-2sec^2 theta = -2

Answer 2

Answer:

This is the correct answer for this question