Question

write csc(x) in terms of cos(x) only. help?

Answer 1

So what is \(\csc (x)\)? How is it defined for you?

Answer 2

csc(x) = 1/sin(x)

Answer 3

and sin(x) = tan(x)cos(x), but then im stuck.. if thats even the right route?

Answer 4

Do you know how to express \(\sin(x)\) in terms of \(\cos(x)\)?

Answer 5

Do you know the Pythagorean theorem for trigonometric functions?

Answer 6

no but im sure if i did this question would be easy right? i missed a day of class that is why im so lost!

Answer 7

Does this make sense?

Answer 8

What equation do you get if you use the Pythagorean theorem.

Answer 9

sin^2(x)+cos^2(x)=1

Answer 10

Solve for \(\sin(x)\).

Answer 11

sqrt of 1-cos^2(x)

Answer 12

Now you know how to express \(\csc(x)\) in terms of \(\cos(x)\).

Answer 13

thank you so much! so will that pythagorean theorem be all i need for any problems like this one?

Answer 14

Knowing the Pythagorean theorem and how to express all other functions in terms of sin and cos will be enough.

Answer 15

great thank you again.