What is the value of x?
sin(x + 22)° = cos(2x - 7)º
2 answers:
Answer:
x = 25
Step-by-step explanation:
Recall the trig identity sin(x) = cos(90 - x)
In other words, sin(x + 22) = cos(90 -(x+22)) = cos(68 - x)
Now, set them equal to each other:
cos(68 - x) = cos(2x - 7)
We can ignore the cosine:
68 - x = 2x - 7
3x = 75
x = 25
Answer:
x=25°
Step-by-step explanation:
sin (x+22)=cos(2x-7)=sin (90-(2x-7))
x+22=90-(2x-7)
x+22=90-2x+7
x+2x=97-22
3x=75
x=75/3=25°
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