hannahmb40 hannahmb40

26-09-2019
Mathematics

contestada

Solve the equation sin(xº - 20°) = cos(42") for x, where 0

Respuesta :

jimrgrant1 jimrgrant1

26-09-2019

Answer:

x = 68°

Step-by-step explanation:

Using the cofunction identity

cos x° = sin(90 - x)°, then

cos42° = sin(90 - 42)° = sin48°

Given

sin(x - 20)° = cos42°, then

sin(x - 20)° = sin48°, thus

x - 20 = 48 ( add 20 to both sides )

x = 68

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