Question

Simplify the trigonometric expression: cot θ tan θ

Answer 1

rewrite cot and tan in terms of sin and cos.
cot theta = ??
tan theta = ?

Answer 2

I have no idea

Answer 3

Well what is cot the inverse of?

Answer 4

And what is the relationship between sin and cos and tan

Answer 5

I have no idea these are so confusing!!!!

Answer 6

to start trigonometry you should be familiar with inverse trig functions \[\large\rm \sin \theta =\frac{1}{\csc \theta} ~~~ \cos \theta= \frac{1}{\sec \theta} ~~\tan \theta= \frac{\sin \theta}{\cos \theta} ~~~\cot \theta=\frac{\cos \theta}{\sin \theta}\]

Answer 7

Ok?

Answer 8

no question mark. 100% ok..

Answer 9

so tan theta =sin /cos
you can replace tan with sin/cos in the original expression.

Answer 10

Ok

Answer 11

do it. same with cot theta
and then simplify...

Answer 12

Sin 0?

Answer 13

@nnesha

Answer 14

Hello???

Answer 15

why so difficile ?

we know that

cotß = 1/tanß

1
---- * tanß = 1 because tanß by tanß simplified
tanß

hope this will help you

Answer 16

@alex8911 do you understand it now - this is more easy

Answer 17

@Brill what is your opinion please about these ?

Answer 18

@Nnesha why so complex ?

Answer 19

Well yeah that certainly is a much more efficient way
I would recommend @jhonyy9's way due to having bypassed the need to convert to sin's and cos's

Answer 20

thank you very much @Brill

Answer 21

what's complex about it ???
that's an important rule.
the way you solved is also work, but one can be confused why are we changing only one ratio to an inverse.
both are easy.