In limit of trigonometric ratios we will learn how to find the limits to the values of sin θ, csc θ, cos θ, sec θ, tan θ and cot θ.
According to the definitions of the trigonometrical ratios of a positive acute angle are always positive.
Note:
Remember that the trigonometrical ratios may be positive as well as negative.
We get from the definitions of trigonometrical ratios that,
Therefore, the limit of trigonometric ratios of a positive acute angle θ is always non-negative:
(i) The values of sin θ and cos θ cannot be greater than 1;
(ii) The values of csc θ and sec θ cannot be less than 1; and
(iii) The values of tan θ and cot θ can have any value.
● Trigonometric Functions
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