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Question

Which of these equation does not have a solution?

A
5sin(x)=4.9
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B
4cot(x)=400
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C
3tanx=0
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D
secx=1/2
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E
cosx=0.001
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Solution

The correct option is D secx=1/2
Given

5sinx=4.9

Range of sinx is [1,1]

Range of 5sinx=[5,5]

4.9[5,5]


4cotx=400

Range of cotx is 400

Range of 4cotx=R

400R



3tanx=0

Range of tanx is R

Range of 3tanx=R

0R



secx=1/2

cosx=2

Range of cosx is [1,1]

2[1,1]


cosx=0.001

Range of cosx is [1,1]

0.001[1,1]

So secx=1/2 doesnot have a Solution.


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