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# Trigonometry - Examples (with Solutions), Geometry, Quantitative Aptitude CAT Notes | EduRev

## GMAT : Trigonometry - Examples (with Solutions), Geometry, Quantitative Aptitude CAT Notes | EduRev

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

Angles are measured in many units’ viz. degrees, minutes, seconds, radians, gradients.
Where 1 degree = 60 minutes, 1 minute = 60 seconds,
π radians = 180° = 200g

⇒ 1 radian = 180°/π and 1 degree = π/ 180 radians.  Basic Trigonometric Ratios
In a right triangle ABC, if θ be the angle between AC & BC. If θ 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 ≤ θ ≤ 360o, then the values for different trigonometric ratios will be as follows.

1. - 1 ≤ Sin θ ≤ 1

2. - 1 ≤ cos θ ≤ 1

3. - ∞ ≤ tan θ ≤ ∞

4. - ∞ ≤ cot θ ≤ ∞

5. - ∞ ≤ Sec θ ≤ -1    &       1 ≤ Sec θ ≤ ∞

6. - ∞ ≤ Cosec θ ≤ - 1     &      1 ≤ Cosec θ ≤ ∞ Sign of Trigonometric ratios

We divide the angle at a point (i.e. 360°) 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!

## Quantitative Aptitude for GMAT

85 videos|100 docs|176 tests

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