Free online courseTrigonometry Grade 11

Conteúdo do Curso

• Video class: Trigonometry grade 11: Triangle on CAST

  0h23m

• Exercise: Given that \( \sin(\theta) = \frac{3}{5} \), \( \theta \) is in the second quadrant, and you need to find \( \cos(\theta) \). What is \( \cos(\theta) \)?

• Video class: Trigonometry grade 11: Triangle on CAST Practice

  0h02m

• Exercise: Given a right triangle where one of the angles is 37 degrees and the sine of this angle is k, which of the following expressions represents cos(53 degrees) in terms of k?

• Video class: Trigonometry grade 11: Triangle on CAST Practice

  0h02m

• Exercise: Given a right triangle in which one vertex lies at the origin and another at (-5, -12), what is the value of sin α, where α is the angle opposite the vertical leg of the triangle?

• Video class: Reduction grade 11

  0h21m

• Exercise: Using the CAST diagram, which of the following is the correct reduction for sin(270 - x)?

• Video class: Reduction grade 11: Using Numbers and special angles.

  0h16m

• Exercise: Given the trigonometric expression tan(720 - x), which quadrant does the angle correspond to on the CAST diagram and how can it be simplified?

• Video class: Reduction grade 11: practice

  0h17m

• Exercise: If \( \sin(90^\circ - x) \) equals \( \cos(x) \), which trigonometric identity does this statement represent based on complementary angles?

• Video class: Reduction Grade 11: Exam

  0h04m

• Exercise: Evaluate the following expression using trigonometric identities: cos(178°) + cos(179°) + cos(180°).

• Video class: Reduction grade 11: practice

  0h03m

• Exercise: Simplify the expression sin(360 - x) - 1 to a single trigonometric term.

• Video class: Reduction grade 11: practice

  0h01m

• Exercise: If sin(θ + 180°) = -sin(θ), what trigonometric identity can be used to simplify this expression?

• Video class: Reduction grade 11: practice

  0h03m

• Exercise: Which trigonometric identity equation is equivalent to the expression: (-cos²x + 1) / (sin²x)?

• Video class: Reduction grade 11: practice

  0h04m

• Exercise: What is the simplified value of the expression cos(130°) + sin(400°) if you consider the properties of trigonometric functions and their respective quadrants?

• Video class: Identities Grade 11: Introduction and practice

  0h25m

• Exercise: What is the value of sin^2(θ) + cos^2(θ) for any angle θ?

• Video class: Identities Grade 11: Practice

  0h03m

• Exercise: In a trigonometric expression, you are tasked with simplifying tan²(x) - sin²(x) to one of the standard trigonometric identities. If you let tan(x) be represented as sin(x)/cos(x), what does the expression simplify to?

• Video class: Identities Grade 11: Practice

  0h03m

• Exercise: Which of the following trigonometric identities is correct?

• Video class: Identities Grade 11: Practice

  0h03m

• Exercise: Which of the following trigonometric expressions is equivalent to cot(x)?

• Video class: Identities Grade 11: Practice

  0h02m

• Exercise: When you simplify the expression (sin x / (1 + cos x)) + (1 / tan x), what will it become?

• Video class: Identities Grade 11: Practice

  0h01m

• Exercise: Which of the following expressions simplifies to 1 using trigonometric identities?

• Video class: General and Specific Solution grade 11:Part 1

  0h15m

• Exercise: Solve the trigonometric equation \( \tan(x) = -\sqrt{3} \) for \( x \) in the interval \( [0, 360) \) degrees.

• Video class: General and Specific Solution grade 11: Part 2

  0h17m

• Exercise: In solving the equation 2tan(x) = tan(x) + 3, what is the value of x in degrees for 0 ≤ x < 360?

• Video class: General Solution Grade 11: Practice

  0h07m

• Exercise: In a typical cosine graph, the function is undefined for certain values of d. Which of the following intervals represent the range of values where the function is defined?