MAT133 Precalculus Assessment 3, 2026 | UiTM Malaysia

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Universiti Teknologi MARA (UiTM)

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Assignment Type

Individual Assignment

Subject

MAT133 Precalculus

Uploaded by Malaysia Assignment Help

Date

09/16/2026

MAT133 Assessment 3

Course : Precalculus
Course Code : MAT133

Question 1

Figure 1

a) Figure 1 show a right triangle ABC and a minor arc ST of a circle center at C with diameter 14cm. If AB = 8cm and ∠SCT=40° . Find

i. length of major arc ST (3 marks)

ii. the area of the shaded region (4 marks)

b) Given that tan⁡〖A= -3/4〗and sin⁡〖B= 5/13〗where A is obtuse and B is acute angle. Find

i. cos(A+B) ( 4 marks)

ii. cot B cosec 2A ( 4 marks)

(Total Q1. Marks 15)

Question 2

a) Sketch the graph of for for y=2 sin⁡〖(4x+π)〗 for -π/4≤x≤(π.)/4 Hence, state the amplitude and period. (5 marks)

b) Determine the amplitude and phase shift of f(x)=-4 cos⁡〖(x-π/2)〗 Hence, sketch the graph of f(x) for f(x) for -2π≤x≤2π . (5 marks)

c) Given cosec x= 13/5 where x is an obtuse angle. Find the value of sin 2x and tan 2x+ sec x (5 marks)

(Total Q2. Marks 15)

Question 3

a) Solve the following trigonometric equation for 2〖sec〗^2 θ+tan⁡(-θ)-3=0 for 0°≤θ≤360° (5 marks)

a) Solve the equation for 9 tanθ+〖tan〗^2 θ=5〖sec〗^2 θ-3 for 0°≤θ≤360° (5 marks)

c) Solve the following trigonometric equation 4〖cos〗^2 θ=6(sinθ+1) on the interval 0°≤θ≤360° (5 marks)

(Total Q3. Marks 15)

——– End of Question ———–

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