Trigonometric Ratios


 
 
Concept Explanation
 

Trigonometric Ratios

Trigonometric Ratios

Let us take a right triangle ABC  right angled at B as shown

Here, large angle CAB (or, in brief, angle A ) is an acute angle. Note the position of the side BC with respect to angle A. It faces large angle A. We call it the side opposite to angle A or perpendicular with respect to angle A.. AC is the hypotenuse of the right triangle and the side AB is a part of large angle A, So , we call it the side adjacent to angle A or base with respect to angle A

Note that the position of sides change when you consider angle C in place of A

We now define certain ratios involving the sides of a right triangle, and call them trigonometric ratios.

The trigonometric ratios of the angle A in right triangle ABC are defined as follows:

  sine ;of;angle A=sin;A= frac{side; opposite;to; angle; A }{hypotenuse}=frac{BC}{AC}

 cosine; of;angle A=cos;A=frac{side;adjacent; to; angle; A}{hypotenuse}=frac{AB}{AC}

tangent; of ;angle A=tan;A=frac{side;opposite; to; angle;A }{side;adjacent;to;angle;A}=frac{BC}{AB}

tangent; of ;angle A=frac{BC}{AB}=frac{frac{BC}{AC}}{frac{AB}{AC}}= frac{sin;A}{cos ;A}

Illustration: ABC is a right angled triangle.If AB = 3 cm, BC= 4 cm and CA  = 5 cm and angle;A= theta. ;Find; sintheta..

Solution: In the figure we have a right angled triangle ABC right angled at B and we know that by the definition

.... (More Text Available, Login?)
Sample Questions
(More Questions for each concept available in Login)
Question : 1

If angles A, B, C of a Delta ABC form an increasing AP, then sin B =

Right Option : B
View Explanation
Explanation
Question : 2

Find the value of sin;theta;.;2cos;theta+3 when it is given that

tan; theta = frac{3}{4}

Right Option : A
View Explanation
Explanation
Question : 3

Find the value of 2;tan;theta when it is given that

sin; theta = frac{3}{5}

Right Option : B
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 


Students / Parents Reviews [10]