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Trigonometric Ratios - Practice Questions & MCQ

Edited By admin | Updated on Sep 18, 2023 18:34 AM | #JEE Main

Quick Facts

  • Trigonometric Functions of Acute Angles is considered one of the most asked concept.

  • 23 Questions around this concept.

Solve by difficulty

The expression \frac{\tan A}{1-\cot A}+\frac{\cot A}{1-\tan A}   can be written as:

Concepts Covered - 2

Trigonometric Functions of Acute Angles

Trigonometric Functions of Acute Angles

We can define the trigonometric functions in terms of an angle t and the lengths of the sides of the triangle. The adjacent side (=x) is the side closest to the angle (Adjacent means “next to.”). The opposite side (=y) is the side across from the angle. The hypotenuse (=1) is the side of the triangle opposite the right angle.

       


 

\\\mathrm{Sine\;\;\;\;\sin t=\frac{\text { opposite }}{\text { hypotenuse }}}\\\mathrm{Cosine\;\;\;\;\cos t=\frac{\text { adjacent }}{\text { hypotenuse }}}\\\mathrm{Tangent\;\;\;\;\tan t=\frac{\text { opposite }}{\text { adjacent }}}

 

Reciprocal Functions: In addition to sine, cosine, and tangent, there are three more functions. These too are defined in terms of the sides of the triangle.

\\\mathrm{Cosecant\;\;\;\;\csc t=\frac{\text { hypotenuse }}{\text { opposite }}=\frac{1}{\sin t}}\\\mathrm{Secent\;\;\;\;\sec t=\frac{\text { hypotenuse }}{\text { adjacent }}=\frac{1}{\cos t}}\\\mathrm{Cotangent\;\;\;\;\cot t=\frac{\text { adjacent }}{\text { opposite }}=\frac{1}{\tan t}}

 

Since, the hypotenuse is the greatest side in a right angle triangle, \text{sint} and \text{cost } can never be greater than unity and \text{cosect} and \text{sect} can never by less than unity. 

Trigonometric Ratios of some Special Angles

Trigonometric Ratios of some Special Angles




 

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Trigonometric Functions of Acute Angles
Trigonometric Ratios of some Special Angles

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Reference Books

Trigonometric Functions of Acute Angles

Mathematics for Joint Entrance Examination JEE (Advanced) : Trigonometry

Page No. : 2.1

Line : 1

Trigonometric Ratios of some Special Angles

Mathematics for Joint Entrance Examination JEE (Advanced) : Algebra

Page No. : 2.12

Line : 12

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