Question

Which of the following is not correct? *
1 point
sin⁡θ=-1/3
cos⁡θ=0.5
tan⁡θ=30
sec⁡θ=1/2​

Answer 1

Given : sin⁡θ=-1/3

cos⁡θ=0.5

tan⁡θ=30

sec⁡θ=1/2​

To Find :  Which of the given is not correct

Solution:

sin⁡θ=-1/3    Correct

as sin⁡θ range is [-1 , 1]  and

-1/3 lies in between

cos⁡θ=0.5

as cos⁡θ range is [-1 , 1]  and

-1/3 lies in between

tan⁡θ=30

as tan θ range is  (-∞ , ∞)

so this is also correct

sec⁡θ=1/2​  

=> cosθ = 2    ( cosx = 1/secx)

as cos⁡θ range is [-1 , 1]  and

2 does not lie in between

Hence  

sec⁡θ=1/2​   is Incorrect

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