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State whether the following are true or false. Justify your answer. The value of cos θ increases as θ increases - Mathematics

MCQ
True or False

State whether the following is true or false. Justify your answer.

The value of cos θ increases as θ increases

Options

  • True

  • False

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Solution

cos 0° = 1

`cos 30^@ =  sqrt3/2 = 0.866`

`cos 45^@ =  1/sqrt2  = 0.707`

`cos 60^@ =  1/2 = 0.5`

cos90° = 0

It can be observed that the value of cos θ does not increase in the interval of 0° < θ < 90°.

Hence, the given statement is false.

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APPEARS IN

NCERT Class 10 Maths
Chapter 8 Introduction to Trigonometry
Exercise 8.2 | Q 4.3 | Page 187
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