What is the general solution for (2sin(x)-1)(cos(x)-sqrt(2))=0 ?

The general solution for (2sin(x)-1)(cos(x)-sqrt(2))=0 is x= pi/6+2pin,x=(5pi)/6+2pin

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(2sin(x)-1)(cos(x)-sqrt(2))=0

(2 sin (x) - 1) (cos (x) - 2) = 0

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

(2 sin (x) - 1) (cos (x) - 2) = 0

Solving each part separately

2 sin (x) - 1 = 0 or cos (x) - 2 = 0

2 sin (x) - 1 = 0 : x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

cos (x) - 2 = 0 :

No Solution

Combine all the solutions

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

7 - 6 sin (x) = 3 + 2 sin (x)

cos (θ) = \frac{2 \cdot 1 0 ^{- 5}}{54 \cdot 1 0 ^{- 6}}

sin (a) = \frac{9}{41}

sin (x) = \frac{10}{300}

cos^{2} (x) + 2 sin (x) = 2

What is the general solution for (2sin(x)-1)(cos(x)-sqrt(2))=0 ?
The general solution for (2sin(x)-1)(cos(x)-sqrt(2))=0 is x= pi/6+2pin,x=(5pi)/6+2pin