Stuck on this and don’t have a clue where I am going wrong

It is given that

A) Find the value of R

B) Show that

C) Hence write down the maximum value of and find apositivevalue of at which the maximum value occurs

NOT AN ACTUAL IDENTITY

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- February 27th 2009, 07:32 AMBeardTrig Double Angle Identities
Stuck on this and don’t have a clue where I am going wrong

It is given that

A) Find the value of R

B) Show that

C) Hence write down the maximum value of and find a**positive**value of at which the maximum value occurs

NOT AN ACTUAL IDENTITY - February 27th 2009, 08:14 AMSoroban
Hello, Beard!

Quote:

Stuck on this and don’t have a clue where I am going wrong.

It's hard to see your work from here.

But it looks like you played the instead of the .

Quote:

It is given that: .

A) Find the value of

. .

Let be an angle such that: .

Then we have: .

. . . . . . . . . . . . . . .

Therefore: .

Quote:

Show that: .

Since , then: .

Quote:

Hence, find the maximum value of

and find a*positive*value of at which the maximum value occurs.

The maximum of: . occurs when

. . Then the maximum value is

If , then: .

Therefore: .