Ask Experts Questions for FREE Help !
Ask
    mollie2539's Avatar
    mollie2539 Posts: 1, Reputation: 1
    New Member
     
    #1

    Dec 4, 2010, 07:57 PM
    how to solve cot^2x - csc^2x?
    Please solve cot^2x - csc^2x =
    depree's Avatar
    depree Posts: 1, Reputation: 1
    New Member
     
    #2

    Dec 4, 2010, 08:35 PM
    cot(x) is defined as adjacent / opposite.
    csc(x) is defined as hypotenuse / opposite
    So csc^2(x) - cot^2(x) = (hyp^2 - adj^2) / opp^2.
    By the pythagorean theorem, (hyp^2 - adj^2) = opp^2
    therefore, csc^2(x) - cot^2(x) = 1
    Therefore, -csc^2(x) + cot^2(x) = -1
    Q.E.D.

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search

Add your answer here.


Check out some similar questions!

Is cot x -1 = csc [ 1 Answers ]

Can you help me to establish identity of csc^2u-csc you sec u=cot^2 you [ 1 Answers ]

Can you help me to establish identity of csc^2u-csc u sec u=cot^2 u

Simplifying csc x + cot x [ 2 Answers ]

Question: simplify csc² x + cot² x multiple choice answers are csc x, sec x, cot x, 0 , or 1 I tried: 1) csc² x + cot²x 2) 1 + cot² x + cot²x {since csc²x = 1 + cot²x} 3) 1 + 2cot²x or

Tan(x)/sec(x) + cot(x)/csc(x) =sin(x)+cos(x) [ 1 Answers ]

I have a couple problems I cannot solve, please help me! 1. tan(x)/sec(x) + cot(x)/csc(x) =sin(x)+cos(x) 2 (1-tan(x))^2 = sec^2(x) - 2tan(x) 3. sin(x)/csc(x)-1 + sin(x)/csc(x)+1 = 2tan^2(x) 4. sin(x) = tan(x)-1

A trig identity/proof, csc and cot [ 1 Answers ]

1 - cot^4x = 2csc²x - csc^4x the ^4 means to the fourth power. The x's are not supposed to be raised.


View more questions Search