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Ratios and Graphs of Trigonometric Functions

6.3.5 Ratio and Graphs of Trigonometric Functions, SPM Paper (Short Questions)

February 1, 2022July 5, 2021 by

Question 13: Which of the following graph represents y = tan x for 0o ≤ x ≤ 360o?     Solution: Answer: A Question 14: Which graph represents part of y = tan x?   Solution: Answer: C

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6.3.4 Ratio and Graphs of Trigonometric Functions, SPM Paper (Short Questions)

February 1, 2022July 4, 2021 by

Question 10: Which of the following graph represents y = cos 2x?   Solution: Answer: C Question 11: Which of the following graph represents y = cos x for 0o ≤ x ≤ 180o?   Solution: Answer: D Question 12: Which graph represents part of y = cos x?   Solution: Answer: B

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6.3.3 Ratio and Graphs of Trigonometric Functions, SPM Paper (Short Questions)

February 1, 2022July 3, 2021 by

Question 7: Which graph represents y = sin x for 0o ≤ x ≤ 270o?   Solution: Answer: B Question 8: Which graph represents y = sin x for 0o ≤ x ≤ 180o? Solution: Answer: D Question 9: Which graph represents part of y = sin x?     Solution: Answer: A

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6.3.2 Ratio and Graphs of Trigonometric Functions, SPM Paper (Short Questions)

February 1, 2022July 2, 2021 by

Question 4: In the diagram above, WZY  is a straight line.  ∠ X Y Z = 90 o , ∠ X W Z = 30 o and WZ = XZ = 30 cm. Find the length of XY. Solution: ∠WXZ=∠XWZ= 30 o ∴∠XZY= 30 o + 30 o = 60 o sin∠XZY= XY XZ sin … Read more

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6.3.1 Ratio and Graphs of Trigonometric Functions, SPM Paper (Short Questions)

February 1, 2022July 1, 2021 by

Question 1: In the diagram above, find the value of tan θ. Solution: In △ A B C , using Pythagoras’ Theorem, A C = 1 2 + 1 2 = 2 c m tan θ = C D A C tan θ = 1 2 Question 2: In the diagram above, ABCE is a … Read more

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6.2 Graphs of Sine, Cosine and Tangent

February 1, 2022June 20, 2021 by

6.2 Graphs of Sine, Cosine and Tangent   (1)  y = sin x, 0o ≤ x ≤ 360o   x 0o 90o 180o 270o 360o sin x 0 1 0 -1 0   (2)  y = cos x, 0o ≤ x ≤ 360o   x 0o 90o 180o 270o 360o cos x 1 0 -1 … Read more

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6.1.2 Values of Sine, Cosine and Tangent of an Angle (Part 2)

February 1, 2022June 17, 2021 by

(A) Special Angle (B) Finding the Angles between 0oand 360o Given Values of sin θ, cos θ or tan θ   1. If the value of sin θ, cos θ or tan θ is given and 0o< θ < 360o, the value of θ can be found using the following steps. (a) Find the basic … Read more

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6.1.1 Values of Sine, Cosine and Tangent of an Angle (Part 1)

February 1, 2022June 15, 2021 by

6.1 Values of Sine, Cosine and Tangent of an Angle (A) Sine, Cosine and Tangent for Right-Angled Triangles   sin θ = opposites side hypotenuse cos θ = adjacent side hypotenuse tan θ = opposites side adjacent side (B) Values of Sin θ, Cos θ and Tan θ in First Quadrant of the Unit Circle … Read more

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