Answer
In standard trigonometry texts, only sine, cosine and tangent of the sum or difference of 2 numbers or values are necessary, as the rest can be deduced using Reciprocal Identities.
Work Step by Step
Remember from Reciprocal Identities:
$$\cot\theta=\frac{1}{\tan\theta}\hspace{1.5cm}\csc\theta=\frac{1}{\sin\theta}\hspace{1.5cm}\sec\theta=\frac{1}{\cos\theta}$$
So as we see here, we can always derive the cotangent, cosecant and secant if we already know the tangent, sine and cosine of the sum or difference of 2 numbers or angles.
Therefore, in standard trigonometry texts, only sine, cosine and tangent of the sum or difference are necessary, as the rest can be deduced using Reciprocal Identities.
