Grade 11 Tutorials - Maths Excellence

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3.2 Evaluate without using a calculator: 3.2.1 tan 120° 3.2.2 cos 630° 3.2.3 sin 150° + tan 330° .cos30° 3.2.4 1 3.3 Prove that: sin 240° tan 300° + cos330° = ( 3 + 3) Question 4 4.1 Use basic trigonometric identities to simplify the following: 2 tan 315° + cos300° sin150° + tan135° 2 2 2 2 4.1.1 tan y. cos y 4.1.2 tan y sin y + tan y cos y 4.1.3 2 1− cos y sin y 4.2 Prove the following identities: 2 sin x 4.2.1 1− = cos x 4.2.2 1+ cos x cos x + tan x = 1+ sin x 1 cos x Question 5 Find the general solution to the following equations. Give answers correct to two decimal places: 5.1 sin θ = 0, 515 5.2 3 − tanθ = 2, 4 5.3 cos( θ + 20° ) = −0, 242 5.4 2 sin( θ −15° ) + 1 = 0 5.5 cos 2θ = tan 24° Question 6 On the same system of axes, draw sketch graphs of: f ( x) = sin x and g ( x) = cos(90° + x) for the interval −180° ≤ x ≤ 180° . Use the graphs to answer the following questions. 6.1 Describe g (x) in terms of a reflection of f (x). 6.2 Explain why f ( x) + g( x) = 0 for all values of x. Grade 11 - 28 - Tutorials
B Question 7 68 o Refer to the diagram. 7.1 Calculate the measurement of AB (correct to two decimal places. 41 o C 7.2 Calculate the area of the triangle. A 11,2cm Question 8 Refer to the diagram. 8.1 Calculate the length of BC. 8,5cm B 8.2 Calculate the size of angle B. A 17 o 14,2cm C Question 9 A surveyor is calculating the width of a river that is to have a bridge built across it. He takes measurements as follows: The distance from point P to point Q, on the same side of the river, is 64 metres. R P ˆQ = 62, 4° , B P ˆQ = 32, 1° and ˆQ = 59, 3° Calculate the width of the river. P R river 32,1 o 62,4 o 64m 59,3 o B Q Grade 11 - 29 - Tutorials
Page 2 and 3: GRADE 11 TUTORIALS LO Topic Page 1
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Page 22 and 23: Question 3 3.1 Determine the values
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Grade 11 Tutorials - Maths Excellence

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