ONLINE BOOK STORE (Shop Now)

Trigonometry

Pythagoras Theoram:

For all the right angled triangles “the square on the hypotenuse (c2) is equal to the sum of all the squares on the other two sides (a2 + b2 ).

Trigonometry Pythagoras Theoram

Get O/A Levels & IGCSE Solved Topical Past Papers, Notes & Books

Home Delivery all over PAKISTAN at Discounted Prices

Free Consultation for Students & Parents

c2 = a2 + b2

Trigonometrical Ratios of Acute Angle:

All angles in a right angle triangle are acute angles. (between 0 to 90 degrees).

Sine:

Capture62

Cosine:

Capture63

Tangent:Capture64

Tip to remember this SOH CAH TOA.

Example:

Q: Find the unknown values of :

Capture65

           Sin 30 = Opposite / Hypotenuse

Sin 30 = x / 13

X = 6.5 Ans

Y2 + X2 = 102

Y2 = 102 –  6.52

Y = 7.60 (Ans)

Trigonometrical Ratios of Obtuse Angles:

The trigonometric ratios of an obtuse angle (between 90 and 180 degree) can be expressed in terms of the adjacent acute angle that lies in the same straight line.

Capture66

Area of Triangle:

For a known right angled triangle with any two sides given and the area.

 Area = ½ ab sin C

Area = ½ bc sin A

Area = ½ ac sin B

Sine Rule:                

Capture66b                                           

It can be used when:

  • Two angles and one side given.
  • Two sides and one non-included angle given.

 

Cosine Rule:

a2= b2 = c2 – (2bc cos A)

b2= a2 = c2 – (2ac cos B)

c2= a2 = b2 – (2ab cos C)

It can be used when:

  • Three sides are given.
  • Two sides and one angle is given.

 

Relax your Mind From Studying and WATCH this Beautiful Sun Flower Painting.

SUBSCRIBE to learn How to Paint

About Admin

Avatar

Leave a Reply