Question

What is the maximum value of $\frac{1}{cosec\Theta}$?

Answer 1

Answer:

The maximum value of sin θ is 1.

Step-by-step explanation:

SOLUTION :  

Given :  

1/cosec θ

1/cosec θ = sin θ

The maximum value of 1/cosec θ is the maximum value of sin θ .

The maximum value of sin θ is 1. The value of sin θ lies between - 1 & 1.

Hence, the maximum value of 1/cosec θ is 1.

Values of sin θ for some specific angles :  

sin 0° = 0

sin 30° = ½  

sin 45° = 1/√2

sin 60° = √3/2

sin 90° = 1

sin 120° = √3/2

sin 270° = - 1

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Answer 2

1.because 1/cosec=sin.In trigonometry ratios table the maximum value for sin is 1