Question: If cos(x) = 0, what is the value of tan(x)?
Options:
0
1
undefined
∞
Correct Answer: undefined
Solution:
tan(x) = sin(x)/cos(x) is undefined when cos(x) = 0.
If cos(x) = 0, what is the value of tan(x)?
Practice Questions
Q1
If cos(x) = 0, what is the value of tan(x)?
0
1
undefined
∞
Questions & Step-by-Step Solutions
If cos(x) = 0, what is the value of tan(x)?
Step 1: Understand the relationship between sine, cosine, and tangent. The formula for tangent is tan(x) = sin(x) / cos(x).
Step 2: Identify the given information. We know that cos(x) = 0.
Step 3: Substitute the value of cos(x) into the tangent formula. This gives us tan(x) = sin(x) / 0.
Step 4: Recognize that dividing by zero is not possible in mathematics. Therefore, tan(x) is undefined when cos(x) = 0.
Step 5: Conclude that the value of tan(x) is undefined.
Trigonometric Functions – Understanding the relationships between sine, cosine, and tangent functions, particularly how tangent is defined as the ratio of sine to cosine.
Undefined Values – Recognizing that certain values of trigonometric functions lead to undefined results, such as division by zero.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
