Which of the following value is not a possible value of Cos x
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Answer:
cos x = -1
Step-by-step explanation:
cotx+cosecx=5
sinx
cosx
+
sinx
1
=5
cosx+1=5sinx
squaring both sides
(cosx+1)
2
=(5sinx)
2
cos
2
x+1+2cosx=25sin
2
x
cos
2
x+1+2cosx=25(1−cos
2
x)
26cos
2
x+2cosx−24=0
dividing by 2 we get
13cos
2
x+13cosx−12cosx−12=0
13cosx(cosx+1)−12(cosx+1)=0
(13cosx−12)(cosx+1)
cosx=
13
12
or
cosx=−1
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