Question

Can you fill in the missing words?

Answer 1

The inverse functions of sine, cos and tan functions are csc, sec and cot respectively.

Step-by-step explanation:

The reciprocals of sine, cos and tan functions are csc, sec and cot functions. The reciprocal of cosine function is secant, (sec)  sec θ = $\frac{1}{cos \theta}$

The inverse or reciprocal function is cosecant (csc), $csc \theta = \frac{1}{sin\theta}$

The inverse tangent function is cotangent (cot) , expressed in two ways: $cot\theta = \frac{1}{tan\theta}$   or $cot\theta = \frac{cos\theta}{sin \theta}$

So $tan\theta = \frac{sin \theta}{cos \theta}$ then its reciprocal or inverse is termed as cot θ.