Question

1.1

13. Use the reciprocal identities for the followin
Problems
If tang 0 = a(a = o), find cot0.

Answer 1

I can help you solve this problem using the reciprocal identities for trigonometric functions. The reciprocal identities are:

$$\sin \theta = \frac{1}{\csc \theta}$$

$$\cos \theta = \frac{1}{\sec \theta}$$

$$\tan \theta = \frac{1}{\cot \theta}$$

These identities state that the reciprocal of a trigonometric function is equal to the corresponding cofunction. For example, the reciprocal of sine is cosecant, and the reciprocal of cosine is secant.

To find the value of cotangent given that tangent is equal to a, we can use the third identity above and write:

$$\cot \theta = \frac{1}{\tan \theta}$$

Substituting a for tan theta, we get:

$$\cot \theta = \frac{1}{a}$$

Therefore, if tan theta equals a, then cot theta equals 1/a. This is the answer.

Explanation:

Answer 2

Explanation:

Certainly! To find cotangent (cot θ) when tangent (tan θ) is given as a, you can use the reciprocal identity:

cot θ = 1 / tan θ

Since tan θ is given as a, you can substitute it into the formula:

cot θ = 1 / a

So, cot θ = 1/a, where 'a' is the given value. If 'a' is equal to 0, please note that cot θ is undefined because division by zero is undefined in mathematics.