Trigonometric Functions
What is Trigonometry:
Triangles are made of 3 angles connected by 3 segments. Triangles with the same degree of angles are called similar triangles, who have the same shape. Thus, with the fixed degree of angles in a triangle, the ratio of the length of each segment in the triangle is also fixed. With this, trigonometry studies the relationships between the angles and sides of triangles.
Trigonometric Ratios:
In right triangle ABC, ∠π΅ is the right angle. Let segment a be the opposite side to ∠π΄, segment c be the opposite side to ∠πΆ, and segment b be the opposite side to ∠π΅ and the hypotenuse side of the triangle.
Special Angles:
When using trigonometry to solve math problems, there are some special angles and their corresponding trigonometry ratios that are often used. You can save a lot of time and work by remembering them.
Example Question:
In a right triangle β³π΄π΅πΆ with ∠B=90, side π΄π΅=3 and side π΅πΆ=4. Calculate the values of sπππ΄,πππ π΄,and π‘πππ΄.
Solution:
Pythagorean TheoremοΌπ΄πΆ=√π΄π΅2+π΅πΆ2. Thus, π΄πΆ=√32+42=√25=5.
Apply trigonometric ratios:
