What is sin (x + (pi/4)) when sin x = 1/2?

Joza · Jun 9, 2007

Simple trigonometry...

Just some simple Trigonometry...

If sin x = 1/2, then what is sin (x + (pi/4)), if x is greater than or equal to 0 and less or equal to pi over 2?

Method?

Doc Al · Jun 9, 2007

Start by figuring out all the values of x that satisfy sin x = 1/2 (between 0 and pi/2). (There's only one.)

Joza · Jun 9, 2007

It specifies do not use calculator or log tables...

Doc Al · Jun 9, 2007

I presume you are expected to know the properties of some special right triangles and special angles? (For example: a 3-4-5 right triangle)

You need some facts at your disposal to get started.

Joza · Jun 9, 2007

I'm not sure. I haven't seen a question like this one before. So basically I have to know the properties of the triangle? I can draw one with the sin = 1-2 to part...but where from there?

What is sin (x + (pi/4)) when sin x = 1/2?

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What is sin (x + (pi/4)) when sin x = 1/2?

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