Assume that 0 &lt; θ &lt; π 4 . If sin ⁡ 2 θ = 1 4 , then sin ⁡ θ + cos ⁡ θ − sin ⁡ θ + cos ⁡ θ = ?

Hint: Note that 0 &lt; 2 θ &lt; π 2 ⟹ cos ⁡ ( 2 θ ) = 1 − sin 2 ⁡ ( 2 θ )

Get the answer to "Assume that 0 < θ < π 4..."

erwachsenc6

2022-10-30

Assume that

0 < θ < \frac{π}{4}

. If

\sin 2 θ = \frac{1}{4}

, then

\frac{\sin θ + \cos θ}{- \sin θ + \cos θ} = ?

megagoalai

Beginner2022-10-31Added 22 answers

Hint: Note that

0 < 2 θ < \frac{π}{2} ⟹ \cos (2 θ) = \sqrt{1 - \sin^{2} (2 θ)}

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?