How to Find Exact Value of Trig Functions Calculator
Trigonometry is the study of relationships between angles and sides of triangles. Trig functions are an essential part of trigonometry. Trig functions are used to relate the angles and sides of a right-angled triangle. The importance of trigonometry in math and science cannot be overstated. Trig functions have several real-life applications in engineering, physics, chemistry, and other sciences. In this article, we will learn about trig functions and how to find their exact values using a calculator.
What are Trig Functions?
Trig functions are mathematical functions that relate the angles and sides of a right-angled triangle. The six trig functions are sine, cosine, tangent, cosecant, secant, and cotangent. These functions are abbreviated as sin, cos, tan, csc, sec, and cot respectively. The following is a brief description of each function.
– Sine (sin): The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse of a right-angled triangle.
– Cosine (cos): The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse of a right-angled triangle.
– Tangent (tan): The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side of a right-angled triangle.
– Cosecant (csc): The cosecant of an angle is the reciprocal of the sine of that angle.
– Secant (sec): The secant of an angle is the reciprocal of the cosine of that angle.
– Cotangent (cot): The cotangent of an angle is the reciprocal of the tangent of that angle.
How to Find the Exact Value of Trig Functions
Calculators are one of the most useful tools for solving mathematical problems. In trigonometry, calculators are used to find the exact value of trig functions. The following are the steps to find the exact value of trig functions using a calculator.
Step 1: Change the Calculator to Degree Mode
Most calculators have two modes: degree mode and radian mode. Degrees are commonly used in trigonometry, so it is essential to use degree mode while finding the exact value of trig functions. To change the calculator to degree mode, press the DRG button, then choose degree mode.
Step 2: Enter the Angle in degrees
To find the exact value of a trig function, you need to enter the angle in degrees into the calculator.
Step 3: Press the Trig Function Button
After entering the angle, press the button for the trig function that you want to calculate. For example, if you want to find the sine of an angle, press the sin button.
Step 4: Press Enter
Once you have entered the angle and the trig function, press the Enter button to get the exact value of the trig function.
FAQs
Here are some frequently asked questions about finding the exact value of trig functions using a calculator.
Q1: Can I use a scientific calculator to find the exact value of trig functions?
Yes, scientific calculators are suitable for finding the exact value of trig functions.
Q2: What is the exact value of sine of 30 degrees?
The exact value of sine of 30 degrees is 1/2.
Q3: What is the exact value of cosine of 60 degrees?
The exact value of cosine of 60 degrees is 1/2.
Q4: What is the exact value of tangent of 45 degrees?
The exact value of tangent of 45 degrees is 1.
Q5: What is the exact value of sine of 0 degrees?
The exact value of sine of 0 degrees is 0.
In conclusion, trig functions are fundamental in trigonometry. They are used to relate the angles and sides of a right-angled triangle. It is crucial to know how to find the exact value of trig functions using a calculator. The steps are simple, and once you understand them, you can find the exact value of any trig function. Practice makes perfect, so keep practicing to improve your skills in trigonometry.