Saturday, 1 October 2011

4.5 Prove Trigonometric Function :)

At last we're finishing this confusing chapter.. I hope this will a put a smile on everyone face now :)

here is the proof on what we've learned on this two final subtopics :)

4.4 Compound Angle Formulas :)

this is a pretty short subtopic :


sin(A + B) DOES NOT equal sinA + sinB. Instead, you must expand such expressions using the formulae below.

The following are important trigonometric relationships:
sin(A + B) = sinAcosB + cosAsinB
cos(A + B) = cosAcosB - sinAsinB
tan(A + B) =   tanA + tanB
                  1 - tanAtanB

To find sin(A - B), cos(A - B) and tan(A - B), just change the + signs in the above identities to - signs and vice-versa:

sin(A - B) = sinAcosB - cosAsinB
cos(A - B) = cosAcosB + sinAsinB
tan(A - B) =   tanA - tanB 
                    1 + tanAtanB


                

4.3 Equivalent Trigonometric Expressions

equivalent trigonometric expressions using right angle triangle :



This is the list of all the co-function identities for
(π/2 – x)


(π + x)

Sorry i could not find the picture for all of it, maybe this video could help you guys more :)



4.2 Trignometric Ratios And Special Angles

Is time to warm up your brain. There's a few things to remember :D !

Special Angles :

and here is special angles chart for all of you :)




getting confuse ? maybe a video might help all of you. lets take a look :)

part 1



Part 2

4.1 Radian Measure :P

Don't get bored yet, we just started learning for this chapter. Cheer Up !

This is a brief about this chapter. Take a look Ok :)


Okay, lets sum up this sub topics..


  • The radian measure of  angle θ is defined as the length, a, of the arc that subtends the angle divided by the radius,r , of the circle : θ = a/r
  • 2π rad = 360° or π rad = 180°.
  • To convert degree measure to radian measure, multiply the degree measure by π/180° radians.
  • To convert radian measure to degree measure, multiply the radian measure by (180/π)°.


Getting Used to this blog :)

Hye Guys,

hope this blog can help you guys to excell in this topic  :)