Determine whether each statement is true or false. If false, tell...

Question

Determine whether each statement is true or false. If false, tell why.

tan 60° ≥ cot 40°

Accepted Answer

Identify if the given statement is true or false, provide the justification if it is false where we have 10 of 72 degrees is greater than or equals to the code tangent of 27 degrees. Now let's see if we can solve this. We'll first make use of our co function identities. Please tell us that because we have a code tangent code tat data, we can write that as tangent of 90 minus data in degrees. Now that we know this, we can rewrite our code and data. A tangent 27 degrees will be equals to the tangent of 90 minus 27 degrees. This since we get the 10 of 63 degrees, now we need to check is the tangent of 72 rather equals to the tangent of 63. Now we should know on tangent on the interval from 0 to 90 degrees as data increases, tangent data will also increase. So we can note this down. This implies that larger tangent values with our degrees correspond with larger degree values. In other words, art should be larger than the other one to have a larger tangent value which we have 22 of these and 63 degrees. Since data, one is larger than the two, our tenants are larger, which makes this a true statement and degrees is indeed larger than co tangent and 27 degrees. Ok. I hope to help you solve the problem. Thank you for watching. Goodbye.

Determine whether each statement is true or false. If false, tell why. tan 60° ≥ cot 40°

Key Concepts

Tangent and Cotangent Functions

Angle Relationships in Trigonometry

Inequalities in Trigonometric Functions

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