Question

simplify this expression cos(theta, the 0with a line through it)/tan(theta)cot(theta)
A)sin(theta)
B)cos(theta)
C)csc(theta)
D)sec(theta)

Answer 1

lol 0 with a line \(\theta\) right?

Answer 2

the variable is unimportant

Answer 3

yes

Answer 4

rewrite all in terms of sine and cosine

Answer 5

i didn't know how to put it in but that was the symbol

Answer 6

no problem lets dispense with the trig all together

Answer 7

call \(\sin(\theta)=b, \cos(\theta)=a\) then this is the same as
\[a\times \frac{b}{a}\times \frac{a}{b}\]

Answer 8

or even easier, know that cotangent is the reciprocal of tangent so
\[\tan(x)\cot(x)=1\]

Answer 9

i'm a little lost

Answer 10

lets go slow then

Answer 11

so it could be cos*sin/cos*cos/sin?

Answer 12

yes it would

Answer 13

and when you are done cancelling you are left only with \(\cos(\theta)\)

Answer 14

ohhh ok

Answer 15

ty

Answer 16

yw