Question

Is Cot=1/tanƟ the same as Cot=CosƟ/SinƟ? My friend told me that they both work the same way when substituting in a Trig equation.

Answer 1

Yes, this is the definition of cotangent.
\[\cot\theta=\frac{1}{\tan\theta}\]
Recall that \(\tan\theta\) is defined as follows,
\[\tan\theta=\frac{\sin\theta}{\cos\theta}\]
This means then that
\[\cot\theta=\frac{1}{\tan\theta}=\frac{1}{\frac{\sin\theta}{\cos\theta}}=\frac{\cos\theta}{\sin\theta}\]

Answer 2

When I substitue in a Trigonometric equation, I can use either one of the reciprocal identity or the quotient identity?

Answer 3

Yep, identities are identities are identities are identities...

Answer 4

Thanks sir

Answer 5

yw