To the nearest degree, determine the measure of angle X for each value of
tan X
a. tan X = 0.49
Just not sure how to solve these questions
On ur calculator there’s a “tan” button, u need to find the “tan -1” button by either pressing “2nd” or smt like that. Then u should see “tan -1 (“ write the number and close the brackets, u should get ur degree, hope it helps :)
Well, tan X = 0.49 isn't really a "tan"tastic value, but let's delve into it anyway. To find the measure of angle X, we can use an inverse function called arctan or atan. Using your handy-dandy calculator, just hit the arctan button, type in 0.49, press equals, and boom! You'll get the answer in radians.
But since you want the answer in degrees, let's convert it. Multiply the value you found in radians by 180/π to get the answer in degrees. So, the measure of angle X, to the nearest degree, for tan X = 0.49, is "approximately" whatever you get after all those calculations.
Remember, a sense of humor is always a good angle to have when dealing with trigonometry!
To determine the measure of angle X when tan X = 0.49, follow these steps:
Step 1: Convert the given value of tan X to an angle using the inverse tangent function (tan^-1 or arctan).
Step 2: Use a calculator or trigonometric table to find the inverse tangent of 0.49 (tan^-1(0.49)).
Step 3: Round the result to the nearest degree.
Let's perform the calculations:
Step 1: tan^-1(0.49) = 26.04 degrees
Step 2: Since we need to round to the nearest degree, the final answer for angle X is approximately 26 degrees.
To solve this question, you need to use the inverse tangent function, also known as arctan or tan^(-1), as it will help you find the angle whose tangent is the given value. Here's how you can do it:
1. Obtain the calculator: Make sure you have a scientific calculator or a calculator app that has the inverse tangent function (arctan or tan^(-1)).
2. Enter the value: Enter 0.49 into your calculator.
3. Calculate the inverse tangent: Press the inverse tangent button (arctan or tan^(-1)) on your calculator. This will give you the measure of angle X in radians.
4. Convert to degrees if needed: If the question requires the answer to be in degrees (which it does in this case), convert the angle from radians to degrees. To do this, multiply the measure in radians by 180/π, where π (pi) is a mathematical constant approximately equal to 3.14159. This will give you the angle measure in degrees.
Using these steps, let's calculate the measure of angle X for tan X = 0.49:
1. Enter 0.49 into your calculator.
2. Press the inverse tangent button (arctan or tan^(-1)).
3. The calculator will return the angle measure in radians. Let's say it's approximately 0.471.
4. To convert to degrees, multiply 0.471 by 180/π ≈ 180/3.14159 = 57.297.
Therefore, the measure of angle X, to the nearest degree, is 57 degrees.
Tan-1(0.49) is not one of those which have exact answers. You will have to resort to a calculator or a table of tangents.
On a calculator, enter 0.49 and press the button tan-1, which is usually preceded by a yellow key, and is written above the tan key. I get about 26°.