Question

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

Answer 1

Maximum value of Sec theta is 1.

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Answer 2

Answer:

The maximum value of 1/sec θ is the maximum value of cos θ.

Step-by-step explanation:

Given :  

1/sec θ  

1/sec θ  = cos θ  

The maximum value of 1/sec θ is the maximum value of cos θ.

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

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

Values of cos θ for some specific angles :  

cos 0° = 1

cos 30° = √3/2

cos 45° = 1/√2

cos 60° = 1/2

cos 90° = 0

cos 120° = - ½  

cos 180° = - 1

cos 270° = 0

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