### Home > INT3 > Chapter 12 > Lesson 12.2.1 > Problem12-76

12-76.

Rewrite each of the following expressions in terms of either $\sin\left(θ\right)$ or $\cos\left(θ\right)$.

1. $\tan\left(θ\right)$

Remember, $\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}$

$\cos(x)\ =\ \frac{\text{adjacent}}{\text{hypotenuse}}$

$\text{tan}(x)\ =\ \frac{\text{opposite}}{\text{adjacent}}$

1. $\csc(θ)$

This is the reciprocal of $\sin\left(θ\right)$.

1. $\cot(θ)$

This is the reciprocal of $\tan(θ)$.

1. $\sec(θ)$

What is $\sec(θ)$ the reciprocal of?