given that π/2 ≤ θ ≤ 3π/2 and sin θ = -2/7 find sin(θ+π/4)

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- December 7th 2012, 06:25 AMabsolutjessyFind sin(theta + pi/4)
given that π/2 ≤ θ ≤ 3π/2 and sin θ = -2/7 find sin(θ+π/4)

- December 7th 2012, 11:14 AMSorobanRe: Find sin(theta + pi/4)
Hello, absolutjessy!

Quote:

We are told that is in Quad 2 or Quad 3.

Sine is negative in Quad 3 and Quad 4.

. . Hence, is in Quad 3.

is in a right triangle with:

. . Then: .

We have: .

n . . . . . . . . . . . . . . .

n . . . . . . . . . . . . . . .

n . . . . . . . . . . . . . . .