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Explain the cosecant of an angle in terms of the triangle sides.
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Cosecant = 1 / sine = Hypotenuse / Opposite
What real-world problems can be solved using trigonometric functions?
Problems involving heights, distances, and angles of elevation/depression.
What additional resources were recommended for deeper learning in class?
Online courses available on platforms like Udemy.
Explain how to find the sine of an angle in a right triangle.
Sine = Opposite / Hypotenuse
In a 8-15-17 right triangle, what is the length of the missing side?
Side length = 17
How do you find the missing side of a right triangle if 3 and 4 are given as sides?
Use the Pythagorean theorem to find the hypotenuse, then calculate all trigonometric function values.
What does the 'H' stand for in the SOHCAHTOA mnemonic?
Hypotenuse
How is cotangent calculated in a right triangle?
Cotangent = 1 / tangent = Adjacent / Opposite
Explain the use of tangent in solving problems with complex angles.
Tangent can be used to find missing sides in complex angle scenarios.
How can the secant of an angle be calculated in a right triangle?
Secant = 1 / cosine = Hypotenuse / Adjacent
Define the reciprocal identity for secant.
Secant (sec): sec(θ) = 1 / cos(θ) = Hypotenuse / Adjacent
What are the multiplier ratios for the special number triangles 3-4-5 and 5-12-13 used for?
To aid in quick calculations without lengthy processes.
What is the formula for cosine in a right triangle?
Cosine = Adjacent / Hypotenuse
What is the Pythagorean Theorem used for?
To find the relationship between the sides of a right triangle: a^2 + b^2 = c^2
When would you use inverse trigonometric functions in trigonometry?
To solve for angles when the sides are given.
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