What is the extreme 7-6cos(θ) ?

The extreme 7-6cos(θ) is Minimum(2pin,1),Maximum(pi+2pin,13)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

extreme 7-6cos(θ)

extreme points

7 - 6 cos (θ)

Minimum (2 πn, 1), Maximum (π + 2 πn, 13)

Solution steps

Find the critical points:

θ = 2 πn, θ = π + 2 πn

Domain of

7 - 6 cos (θ) : - \infty < θ < \infty

Find intervals:

Increasing

: 2 πn < θ < π + 2 πn,

Decreasing

: π + 2 πn < θ < 2 π + 2 πn

Plug the extreme point

x = 2 πn

into

7 - 6 cos (θ) \Rightarrow y = 1

Minimum (2 πn, 1)

Plug the extreme point

x = π + 2 πn

into

7 - 6 cos (θ) \Rightarrow y = 13

Maximum (π + 2 πn, 13)

Minimum (2 πn, 1), Maximum (π + 2 πn, 13)

What is the extreme 7-6cos(θ) ?
The extreme 7-6cos(θ) is Minimum(2pin,1),Maximum(pi+2pin,13)