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 :)
Advanced Function :)
Saturday, 1 October 2011
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
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 :
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..
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)°.
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