ALL IMPORTANT TRIGNOMETRIC EQUATION FORMULAS

In this post you will fiind some important formulas which has complete relation with previous years questions. ssc doesn't ask anything out of thease formulas. so these formulas becomes important for your preparation.



Hi dears i am back again with the TRIGNOMETRY . This is the chapter about we afraid in our secondary examination. It has variety of questions some could be solved in a minute or some takes much time to get solved . In order to cover this section we need to have COVERED ALL IMPORTANT TRIGNOMETRIC EQUATION AND FORMULAS.  so to cover this section i am providing some important trignometric formulas for you. after that you would be able to do this section more effectively. once you have revised all important trignometric formulas you are required to revise them and one should also know how to use them .

 STARTING FROM THE BASIC TRIGNOMETRY FORMULAS:-

    sin²θ+cos²θ=1 { we can change the side of sinθ or cosθ}

    sec²θ-tan²θ=1 { we can change the side of tanθ or secθ}

    cosec²-cot²=1   {  we can write this as well cosec²=cot²+1,cot²θ=cosec²θ-1, this is because of changing the side of the elements}

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   NOW MOVING TO NEXT FORMULAS;-

 SINθ/COSθ = TANθ {Inverse of it= COTθ

  NOW INVERSE FORMULAS OR EQUATION:-

COSECθ IS INVERSE OF SINθ

COTθ IS INVERSE OF TANθ

SECθ IS INVERSE OF COSθ

let me show you how they are inverse:- when cosθ is required and secθ is given we can write secθ=1/cosθ and all inverse can be written as well they are division components.

Now come on trignometric value table- 

trignometric value table

know the trick to make trignometric value table:- 

i will tell you in story mode;-

[(There were a father Sinθ who gave its sons(0°,30°,45°,60°,90°) money as 0,1,2,3,4 now the father have 4 grandsons from each sons. the property divided in the four part like (0/4,1/4,2/4,3/4,4/4) . but due to recesion there were loss so underoot the amount now , you will get the value of sin table. just REVERSE for cos, for tan we know it is the result of , division of sin and cos just divide and get the value of tan, cot is revese of tan so reverse the terms, cosec is divident of sin so divide value of sin, as well cos for sec)]

now tak about what is important regarding previous years questions for ssc cpo,cgl.

now come on the Sin graph( just for visuals):-

sine graph

that means;

sin n(π∕2)=0 which consist of................... -3π∕2, -π∕2, +π∕2,3π∕2....................

now 

sin0+sin1+sin2+sin3+.............+sin360=0

now come on cos graph:-

cos graph

cos(π∕2),cos(3π∕2),cos(5π∕2),cos(7π∕2)= 0

Cos 0, 2π,4v,6π-______________= +1 

Cos π, 3π, 5v,7π_____________= -1

cos 0+ cos 1+ cos 2+ cos3+.........+cos180= 0

cos 1+ cos 2+cos 3+....................+ cos179 = 0

cos 1+ cos2+cos3+..................+cos180= -1

cos 0+cos 1+ cos 2+.....................+cos 179= +1 

 Cos(180-θ)= cos(180+θ)

 example:- cos 170=cos190

cos(90-θ) = - cos(90+θ)

or

cos(90-θ)+cos(90+θ)=0

example:- cos 80+cos100=0

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Now come on Angle conversion:-

Sign changes with value of theta

sinθ changes in cosθ             ↑         all of these changes happen 

tanθ changes in cotθ              ↑               only on 

secθ changes in cosecθ        ↑               90,270 degree angels 

 there is trick to remember this is to ASTC 

Some more important rules are attached here by to give it a final touch.

download all or take a screenshots of ALL IMPORTANT TRIGNOMETRIC EQUATION , FORMULAS 
                          This is first post introducing all the trignometric formulas and equations, by this one can get absolute grip over trignometry for ssc,cds and all of the compettitive exams where trignomety is a important topic.
   YOUR FEEDBACKS ARE WELCOMED AND SUGGEST SOMETHING IF I AM LACKING IN. 
wish you beautiful journey towards trignometry. 
        i will be posting some important trignometry questions of maths which would be beneficial for you. as SSC asks  mostly 2 queestion from the topic.

 THIS POST IS BENEFICIAL FOR IMPORTANT PREVIOUS YEARS QUESTIONS FOR SSC CPO,CGL.

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                  ONCE AGAIN THANK YOU ALL