Answer:
To find missing sides of special right triangles (such as 30-60-90 and 45-45-90 triangles), you can use their ratios and the Pythagorean theorem.
Trigonometric functions (sine, cosine, tangent) are ratios of the sides of a right triangle. They help relate angles to side lengths.
Trigonometric functions are used to solve problems involving angles and sides in right triangles. They are essential in fields like physics, engineering, and architecture.
Reciprocal trigonometric functions (cosecant, secant, cotangent) are the inverses of sine, cosine, and tangent.
The choice of trig function depends on the information given and what you're trying to find. Sine and cosine are often used for side lengths, while tangent is used for angle measures.
The trig functions of two similar figures have the same ratios because the ratios depend only on the angle, not the size of the triangle.
The Pythagorean theorem is used to solve for a missing side when given two sides of a right triangle.
To use trig functions to solve for a missing side length, you need an angle measure and one side length.
To use trig functions to solve for a missing angle measure, you need two side lengths.
Sine and cosine of complementary angles are related by the identity: sin(A) = cos(90° - A) and vice versa.
The angle of elevation is the angle between the line of sight and the horizontal plane. The angle of depression is the angle between the line of sight and the horizontal plane.
Angle of elevation and angle of depression are used to solve problems involving heights, distances, and angles in real-world scenarios.
Trigonometric word problems without drawings can be solved using given information, trigonometric functions, and logical reasoning to set up equations and solve for unknowns.
Remember, trigonometry involves a combination of understanding the relationships between angles and sides, applying the appropriate trigonometric functions, and using algebraic techniques to solve for unknowns in various situations.
Explanation: