Question

sin theta + cos theta equal to root 2 sin (90 degrees - theta ) then find cos theta​

Answer 1

Answer:

$\cos \theta = \sin(45 \degree + \theta)$

Step-by-step explanation:

$\sin \theta + \cos \theta = \sqrt{2} \sin(90 \degree - \theta) \\ \implies \frac{1}{ \sqrt{2} } ( \sin \theta + \cos \theta) = \sin(90 \degree - \theta) \\ \implies \frac{1}{ \sqrt{2} } \sin \theta + \frac{1}{ \sqrt{2} } \cos \theta = \cos \theta \\ \implies \cos45 \degree \sin \theta + \sin45 \degree \cos \theta = \cos \theta \\ \implies \cos \theta = \sin(45 \degree + \theta)$

Answer 2

Solutions:

sin(theta) + cos(theta) = √2sin (90°-theta)

1/√2 sin(theta) + 1/√2 cas(theta) = cas0

cas45° sin(theta) + sin45° cas(theta) = cos0

cad(theta) = sin (45°+theta).

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