yharris1999 yharris1999
  • 03-02-2021
  • Mathematics
contestada

If 0 < f ≤ 90 and cos(22f − 1) = sin(7f + 4), what is the value of f?
A. f=3
B. f=4
C. f=5
D. f=6

Respuesta :

jaylin2185
jaylin2185 jaylin2185
  • 12-02-2021

Answer:

f = 3

Step-by-step explanation:

Given the equation cos(22f − 1) = sin(7f + 4), the following steps must be followed in order to get the value of f;

From the trigonometry identity, sin(90-theta) = cos theta.

cos(22f-1) = sin (90-(22f-1))

cos(22f-1) = sin (90-22f+1)

cos(22f-1) = sin (91-22f)... 3

substituting eqn 3 into the original equation given, we will have;

sin (91-22f) = sin(7f + 4)

91-22f = 7f+4

7f+22f = 91-4

29f = 87

f = 87/29

f = 3

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