Question

Solve problems on Trigonometric ratios and identities

Question 8 please.

Answer 1

Answer:

The range of f(θ) is:   [-4, 10].

Step-by-step explanation:

We find the first two derivatives.

Find values of θ when f '(θ) = 0. For f ''(θ) for those values. If f ''(θ) is negative then f(θ) value is a local maximum. If f ''(θ) is positive then f(θ) is a local minimum.

The detailed answer is given in the enclosed picture.

Answer 2

Answer:

Step-by-step explanation:

We find the first two derivatives.

Find values of θ when f '(θ) = 0. For f ''(θ) for those values. If f ''(θ) is negative then f(θ) value is a local maximum. If f ''(θ) is positive then f(θ) is a local minimum.