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

Sagot :

Answer:

[tex]x = 68[/tex]

Step-by-step explanation:

Sine are Cosine are Complementary Angles.

We can use this formula

[tex] \sin(x) = \cos(y) [/tex]

when x+y=90.

Add the expressions in the parentents to 90 and solve for x.

[tex]x - 20 + 42 = 90[/tex]

[tex]x + 22 = 90[/tex]

[tex]x = 68[/tex]

The answer is

[tex]x = 68[/tex]