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  • 16-08-2019
  • Mathematics
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If sin tita = cos tita find tita between 0° and 30°​

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dawidpacia148
dawidpacia148 dawidpacia148
  • 16-08-2019

Answer:

there is no solution for (0, 30°)

Step-by-step explanation:

six(x) = cos(x)

sin(x) - cos(x) = 0

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

sin(t)^2 + cos(x)^2 - 2sin(x)cos(x) = 0

1 - sin(2x) = 0

sin(2x) = 1

2x = π/2 + 2πk -> k - any integer number

x = π/4 + πk

the smallest positive solution is π/4 = 45°. That means for range (0, 30°)

there is no solution

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