Find the Trigonometric Function Values for 11pi/6

TL;DR

Find trig function values for 11 PI over 6 by first finding the reference angle and using Quadrant knowledge.

Transcript

find the trig function values for 11 PI over 6 ok solution so whenever you have a problem like this you first have to find the reference angle for your angle that's given so where is 11 PI over 6 well we can think of 2 pi as 12 PI over 6 so that 11 PI over 6 is somewhere over here in Quadrant 4 so this angle here is 11 PI over 6 so the reference an... Read More

Key Insights

• 🔺 Understanding reference angles is crucial in finding trig function values for angles.
• 👨‍💼 Memorizing sine and cosine values for common angles simplifies calculations.
• 🐬 Reciprocals of trig function values can be easily derived by flipping the values.
• 🤘 Quadrant knowledge helps determine the sign of trig function values.

Questions & Answers

Q: How do you find the reference angle for an angle like 11 PI over 6?

To find the reference angle, identify where the angle falls in relation to the positive acute angle made with the x-axis.

Q: Why is it important to know the definitions of sine, cosine, and tangent?

Knowing the definitions helps in determining the trig function values and understanding their relationships based on the given angle.

Q: How do you determine if a trig function value should be positive or negative in Quadrant 4?

In Quadrant 4, cosine is positive (X coordinate is positive) and sine is negative (Y coordinate is negative), guiding the sign determination for trig function values.

Q: Why are reciprocals of sine, cosine, and tangent important in finding trig function values?

Reciprocals like cosecant, secant, and cotangent are useful in quickly determining the trig function values based on the known values of sine, cosine, and tangent.

Summary & Key Takeaways

• To find trig function values for 11 PI over 6, determine the reference angle (PI over 6).

• Calculate sine (1/2), cosine (square root of 3 over 2), tangent, reciprocals, and signs.

• Understand how to determine positive or negative values based on the quadrant.