Principles of Trigonometry

These flashcards cover essential concepts and formulas in trigonometry, focusing on trigonometric ratios, special right triangles, and the use of scientific calculators.

What are the six trigonometric ratios?

Sine, Cosine, Tangent, Cotangent, Secant, and Cosecant.

How do you find the sine of an angle in a right triangle?

Sine = Opposite side / Hypotenuse.

What relationship exists in a 45°-45°-90° triangle regarding its legs and hypotenuse?

The legs are congruent, and the hypotenuse is equal to a leg times √2.

In a 30°-60°-90° triangle, how is the length of the hypotenuse related to the short leg?

The hypotenuse is twice the length of the short leg.

What is the value of cosine if 𝜃 is 45°?

Cosine 45° = √2 / 2.

How do you calculate tangent in a right triangle?

Tangent = Opposite side / Adjacent side.

What is cosecant in terms of sine?

Cosecant = 1 / Sine.

What should you do to get an accurate answer from a scientific calculator for trigonometric functions?

Check the settings and ensure it is in Degree Mode.

What is the tangent of a 30° angle?

Tangent 30° = 1 / √3.

How do you find the values of non-special angles using a scientific calculator?

Enter the angle and press the function button (e.g., sin, cos, tan) to get the result.