The document Trigonometry - Examples (with Solutions), Geometry, Quantitative Aptitude CAT Notes | EduRev is a part of the GMAT Course Quantitative Aptitude for GMAT.

All you need of GMAT at this link: GMAT

**Angles and their relationship**

Angles are measured in many unitsâ€™ viz. degrees, minutes, seconds, radians, gradients.

Where 1 degree = 60 minutes, 1 minute = 60 seconds,

Ï€ radians = 180Â° = 200g

â‡’ 1 radian = 180Â°/Ï€ and 1 degree = Ï€/ 180 radians.

**Basic Trigonometric Ratios**

In a right triangle ABC, if Î¸ be the angle between AC & BC.

If Î¸ is one of the angle other then right angle, then the side opposite to the angle is perpendicular (P) and the

sides containing the angle are taken as Base ( B) and the hypotenuse (H). In this type of triangles, we can

have six types of ratios. These ratios are called trigonometric ratios.**Important Formulae**

**Range of Values of Ratios**

If 0 â‰¤ Î¸ â‰¤ 360^{o}, then the values for different trigonometric ratios will be as follows.

1. - 1 â‰¤ Sin Î¸ â‰¤ 1

2. - 1 â‰¤ cos Î¸ â‰¤ 1

3. - âˆž â‰¤ tan Î¸ â‰¤ âˆž

4. - âˆž â‰¤ cot Î¸ â‰¤ âˆž

5. - âˆž â‰¤ Sec Î¸ â‰¤ -1 & 1 â‰¤ Sec Î¸ â‰¤ âˆž

6. - âˆž â‰¤ Cosec Î¸ â‰¤ - 1 & 1 â‰¤ Cosec Î¸ â‰¤ âˆž

**Sign of Trigonometric ratios**

We divide the angle at a point (i.e. 360Â°) into 4 parts called quadrants. In the first quadrant all the

trigonometric ratios are positive

**SOME MORE RESULTS:**

**Ex.1 Simplify **.

**Sol.**

**Ex.2 If cot A **** , find the value of 3 cos A + 4 sin A, where A is in the first quadrant. **

**Sol.**

**Ex.3 Find the value of **

**Sol. **

= 1 + 1 - 1 = 1

**Values of trigonometric Ratio for some special angles:**

**Properties of triangle Sine Rule**

In any triangle ABC if AB, BC, AC be represented by c, a, b respectively

**Cosine Rule**

In a triangle ABC of having sides of any size, we have the following rule;

**Area of triangle**

Offer running on EduRev: __Apply code STAYHOME200__ to get INR 200 off on our premium plan EduRev Infinity!

85 videos|100 docs|176 tests

### Introduction to Basic Trigonometry, Quantitative Aptitude

- Video | 08:45 min
### Test: Heights And Distances - 1

- Test | 10 ques | 20 min
### Introduction to Trigonometry : 2, Quantitative Aptitude

- Video | 05:56 min

- Test: Trigonometry- 2
- Test | 10 ques | 20 min
- Test: Trigonometry- 1
- Test | 10 ques | 20 min
- Basic Trigonometry Concepts
- Doc | 3 pages
- Short Review of Trigonometry
- Doc | 5 pages