Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

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exact value of (sin22.5 + cos22.5)^2 without calculator

The exact value of (sin22.5 + cos22.5)^2 is what im meant to be working out without a calculator, but how do you go about doing this?

I've been taught to use those triangles to work out these type of questions, but an angle of 22.5 isnt possible using them, so wondering how i should tackle this?

Thanks

use sin^2 x + cos^2 x = 1 then another trig formula

If you expand the brackets you get:

cos^{2}(22.5) + 2sin(22.5)cos(22.5) + sin^{2}(22.5)

You should know two identities that let you solve this rather easily.

OP

Mush

If you expand the brackets you get:

cos^{2}(22.5) + 2sin(22.5)cos(22.5) + sin^{2}(22.5)

You should know two identities that let you solve this rather easily.

I used the half angle formula for sin squared and cos squared, but im not too sure to do with 2sin(22.5)cos(22.5) ?

NesQuiK.

I used the half angle formula for sin squared and cos squared, but im not too sure to do with 2sin(22.5)cos(22.5) ?

Remember sin2A = 2sinAcosA?

OP

Morbo

Remember sin2A = 2sinAcosA?

ahh yes of course!
Thanks

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