Question

cot2x + csc2x = 2csc2x - 1


my answer > cot^2+csc^4*x^3

Answer 1

Teacher:You cannot take terms across the = when doing a proof. You must show that the LHS=RHS. See if you can use cot^2(x)+1 = csc^2(x) to help you do this.??

Answer 2

@freckles

Answer 3

so those things in your problem are not double angles right?

Answer 4

idont thinks so
no there not

Answer 5

looks like square not double angle
that way the left hand side is correct

Answer 6

yes

Answer 7

so the problem is:
\[\cot^2(x)+\csc^2(x)=2\csc^2(x)-1\]

Answer 8

yes

Answer 9

this problem wants you to use the id
1+cot^2=csc^2

Answer 10

well let's play with this:
\[\cot^2(x)+1=\csc^2(x)\]
subtract 1 on both sides

Answer 11

this will isolate the cot^2(x) term

Answer 12

in then you will be able to write left hand side in terms of csc

Answer 13

umm okkk

Answer 14

do this one step:
subtract 1 on both sides of
cot^2(x)+1=csc^2(x)

Answer 15

cot^2(x)csc^2 right

Answer 16

what happen to the equation

Answer 17

if I asked you to subtract 1 on both sides of
x+1=y
what would you get after just doing that one step

Answer 18

you would get x=y

Answer 19

i'm asking you to subtract one on both sides not one side
remember whatever you do to one side of the equation you have to do to the other

Answer 20

x+1=y
subtract 1 on both sides
(x+1)-1=y-1
x+1-1=y-1
x=y-1

Answer 21

ohh ok

Answer 22

\[\cot^2(x)+1=\csc^2(x) \\ \text{ subtract 1 on both sides here }\]

Answer 23

cot^2(X)=CSC^2(X)-1

Answer 24

right
\[\cot^2(x)+\csc^2(x) \text{ was your left hand side } \\ \text{ replace} \cot^2(x) \text{ with } \csc^2(x)-1\]

Answer 25

\[(\csc^2(x)-1)+\csc^2(x) \\ \text{ you can drop ( ) } \\ \csc^2(x)-1+\csc^2(x)\]
do you think you can finish here:

Answer 26

you know how to combine like terms right?

Answer 27

no

Answer 28

examples of combining like terms:
5+5=2(5)=10

a+a=2a

x^2+x^2=2x^2

log(x)+log(x)=2log(x)


sin(x)+sin(x)=2sin(x)

sin^2(x)+sin^2(x)=2sin^2(x)

sin^2(x)+4sin^2(x)=5sin^2(x)

can you find this:
csc^2(x)+csc^2(x)=?

Answer 29

or not find but simplify

Answer 30

(2*x)*csc^2

Answer 31

what happen to csc^2 's angle part?

Answer 32

??

Answer 33

csc^2 has no meaning
csc^2(x) has meaning

Answer 34

something has to be plugged into the csc^2 function to actually have meaning
csc^2 alone means nothing

Answer 35

so (2*x)*csc^2(X)

Answer 36

so I think you meant to write 2csc^2(x)
this does not mean csc^2 times x
it means csc^2 of x
like means x is being plugged into the csc^2( ) function

Answer 37

where does the extra x come from

Answer 38

\[\csc^2(x)+\csc^2(x)=2 \csc^2(x) \]

Answer 39

ohh i see what you mena venr mind that last statment lol

Answer 40

anyways do you have any questions on this one before I take off for a bit

Answer 41

id thnx alot

Answer 42

np