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mr. x
Lv 5
mr. x asked in Science & MathematicsMathematics · 1 decade ago

prove this?

1. (sinA+cosecA)*(sinA+cosecA) +(cosA+secA)*(cosA+secA)=tanA*tanA = cotA*cotA+7

2. (1+cotA-cosecA)(1+tanA+secA)=2

3. (cosecA-sinA)(secA-cosA)(tanA+cotA)=1

4. tanA+secA-1/tanA-secA+1=1+sinA/cosA

5. tanA+secA-1/tanA-secA+1=tanA*secA

please prove

8 Answers

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  • 1 decade ago
    Favorite Answer

    i don't know if i'll have the patience to do all of these, but it's really just definition chasing. you should be able to do these

    1) (sinA+cosecA)*(sinA+cosecA) +(cosA+secA)*(cosA+secA)

    = sin^2(A) + 2 + csc^2(A) + cos^2(A) + 2 + sec^2(A)

    = 5 + csc^2(A) + sec^2(A)

    = 6 + csc^2(A) + tan^2(A)

    = 7 + cot^2(A) + tan^2(A)

    (i think that's what you meant it to equal)

    2) (1+cotA-cosecA)(1+tanA+secA)

    = 1 + cotA - cscA + tanA + 1 - secA + secA + cscA - cscAsecA

    = 2 + cot(A) + tan(A) - 1/(sin(A)cos(A))

    = 2 + cos^2(A)/(sin(A)cos(A)) + sin^2(A)/(sin(A)cos(A)) - 1/(sin(A)cos(A))

    = 2 + 1/(sin(A)cos(A)) - 1/(sin(A)cos(A))

    = 2

    you didn't finish writing the problem for 3 through 5.

  • gnegy
    Lv 4
    4 years ago

    to tutor some thing implies fact, except self, you ought to be particular of not some thing. although i ought to like it if i replaced into particular of each and everything i comprehend of, i am going to in elementary words be particular of myself, or maybe then in elementary words my ideas. so a techniques as proving is going, i favor not tutor some thing to myself on the grounds that i already comprehend myself, as for proving fact even as thinking exterior truth, I even haven't any favor for such, exterior truth is whimsical at perfect, regardless what's perceived. imagine about the former sayings of love; even as your in love you're prepared to face uncertainty as long as you've your love with techniques out of your section. fortuitously, my love is me, for that reason uncertainty isn't some thing relative to my information of self. each and everything and by no skill some thing are irrelevant even as thinking actual self; a minimum of from my attitude.

  • 1 decade ago

    hey,,,,i knwo yahoo answers is wonderful...but that does not mean u have to take advantage of it...i am a maths teacher...and it would be great if u try to prove urself. after all they are not that difficult......it will be good for you....

  • Anonymous
    1 decade ago

    its so easy you should do yourself or you will fail in the exam for sure. why are u so lazy?

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  • 1 decade ago

    ask to some body else

  • Anonymous
    1 decade ago

    Ask your math teacher.

  • 1 decade ago

    You can do it .

  • 1 decade ago

    aahaa...........i suppose you are so......so.........so........intelligent..........

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