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 = [tex]$\frac{1}{cos \theta}[/tex]
The inverse or reciprocal function is cosecant (csc), [tex]$ csc \theta = \frac{1}{sin\theta}[/tex]
The inverse tangent function is cotangent (cot) , expressed in two ways: [tex]$ cot\theta = \frac{1}{tan\theta}[/tex] or [tex]$ cot\theta = \frac{cos\theta}{sin \theta}[/tex]
So [tex]$ tan\theta = \frac{sin \theta}{cos \theta}[/tex] then its reciprocal or inverse is termed as cot θ.
