Understanding Trigonometry Concepts

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the primary focus of trigonometry?

  • The relationship between triangle sides and angles (correct)
  • The area of quadrilaterals
  • Calculating the lengths of cube edges
  • The properties of circles

What is the correct definition of the sine ratio?

  • Opposite / Adjacent
  • Hypotenuse / Adjacent
  • Adjacent / Hypotenuse
  • Opposite / Hypotenuse (correct)

In the triangle example provided, what is the value of tan A?

  • 13/5
  • 12/13
  • 12/5
  • 5/12 (correct)

What is the value of cos H given the sides of the triangle?

<p>12/15 (A)</p> Signup and view all the answers

How do you find the angle measure using trigonometric functions?

<p>Use the inverse function of the ratio (A)</p> Signup and view all the answers

What is the first step in finding the side lengths of a triangle using trigonometry?

<p>Determine which trigonometric function to use (C)</p> Signup and view all the answers

What equation would represent a triangle with an angle of 39 degrees and opposite side of 11?

<p>Tan(39) = 11/x (A)</p> Signup and view all the answers

What value should you calculate to find side length x if using Cos(21) = x/26?

<p>x = 26 * Cos(21) (B)</p> Signup and view all the answers

If Tan(34) = 11/x, what is the correct next step after writing the equation?

<p>Rearrange to x = 11 / Tan(34) (B)</p> Signup and view all the answers

What should you ensure before using a calculator for trigonometric functions?

<p>The calculator should be in degree mode (B)</p> Signup and view all the answers

What is the combined equation used to find the side length if Cos(43) = 36/x?

<p>x = 36 / Cos(43) (A)</p> Signup and view all the answers

In the context of the problems, what does x typically represent?

<p>The length of one of the sides of the triangle (D)</p> Signup and view all the answers

After finding the equation Sin(33) = 15/x and calculating the value of x, what process is next?

<p>Calculate using the calculator for the final value of x (D)</p> Signup and view all the answers

Flashcards

Trigonometry

Study of triangle sides and angles' relationships.

Trigonometric Ratios

Relationships between sides and angles in a right triangle.

Sine

Opposite side divided by hypotenuse.

Cosine

Adjacent side divided by hypotenuse.

Signup and view all the flashcards

Tangent

Opposite side divided by adjacent side.

Signup and view all the flashcards

Trigonometry to Find Sides

Using trigonometric functions (sine, cosine, tangent) to determine the length of a side in a right triangle, given an angle and another side length.

Signup and view all the flashcards

Equation Setup (Trigonometry)

Setting up a trigonometric equation with a known angle and two sides involves relating the trig function (sin, cos, tan) to the ratio of sides.

Signup and view all the flashcards

Calculator Mode

Using degree mode for trigonometric functions on a calculator to get accurate side length calculations.

Signup and view all the flashcards

Determine Trig Function

Identifying the appropriate trigonometric function (sin, cos, or tan) to solve for the missing side, based on the known angle and side position.

Signup and view all the flashcards

Solve for x

Isolating the variable 'x' algebraically in the trigonometric equation to find its numerical value, relating to the missing side length.

Signup and view all the flashcards

Calculate Using Calculator

Evaluating the trigonometric equation using a calculator to find the exact numerical side length using the appropriate trig function

Signup and view all the flashcards

Right Triangle Trigonometry

Using trigonometry to calculate the sides of a right-angled triangle when knowing an angle and another side length

Signup and view all the flashcards

Tangent (Tan)

The trigonometric function that relates the ratio of the opposite side to the adjacent side of an angle in a right-angled triangle.

Signup and view all the flashcards

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser