SOLUTION: Suppose that beta is an acute angle , greater than 0 but less than 90. Compute the exact value of all of the trigonometric values of beta, given that tan beta = 3.

Question 1065128: Suppose that beta is an acute angle , greater than 0 but less than 90. Compute the exact value of all of the trigonometric values of beta, given that tan beta = 3.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
For a right triangle with an angle measuring ,
= opposite leg/adjacent leg.
If we draw such a triangle with legs measuring and on angle ,
it would look like this:

<---> as per the Pythagorean theorem.
For that triangle, we can calculate:

RELATED QUESTIONS
Is the sum of any two angle measures in an acute triangle greater than 90 degrees a... (answered by stanbon)

what is the exact value of each of the following trigonometric functions of theta cos... (answered by lwsshak3)

find the exact value of the indicated trigonometric function of 0 sin 0=-4/7, tan 0... (answered by stanbon)

An acute angle is an angle whose measure is less than 90 degrees. A right triangle is a... (answered by stanbon)

angle X is 12 degrees greater than angle Y. If together they make 90 degrees. Write and... (answered by addingup,lwsshak3,MathTherapy)

Hi, please help me solve this problem: Suppose alpha is an acute angle and cos alpha = (answered by Alan3354)

Write the inverse of the following statement: If angle A is acute, then its measure is... (answered by nyc_function)

given that cosA=1/3 where A is an acute angle, the exact value of cos A/2... (answered by lwsshak3)

find the angles in a right angle triangle that one of it acute angle is 20 greater than... (answered by stanbon)