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Luyanda

Luyanda

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In $3-11, P$ is the point at which the terminal side of an angle in standard position intersects the unit circle. The measure of the angle is $\theta .$ For each point $P$ the $x$ -coordinate and the quadrant is given. Find: a. the $y$ -coordinate of $P$ b. $\cos \theta$ c. $\sin \theta$ d. $\tan \theta$ $\left(-\frac{\sqrt{7}}{3}, y\right),$ second quadrant

In $3-11, P$ is the point at which the terminal side of an angle in standard position intersects the unit circle. The measure of the angle is $\theta .$ For each point $P$ the $x$ -coordinate and the quadrant is given. Find: a. the $y$ -coordinate of $P$ b. $\cos \theta$ c. $\sin \theta$ d. $\tan \theta$ $\left(-\frac{\sqrt{7}}{3}, y\right),$ second quadrant

Algebra 2 and Trigonometry

TRIGONOMETRIC FUNCTIONS

The Tangent Function

Questions asked

INSTANT ANSWER

23:08 6 0 \%. 46 ? 45\%. 9 of 20 (EC/NOVEMBER 2023) PHYSICAL SCIENCES P1 9 QUESTION 4 In the diagram below, an 8 kg block is connected to a 4 kg block by means of a light, inextensible string. A constant force of 55 N is applied to the 8 kg block to accelerate the combination of blocks to the right. The kinetic frictional force between the 4 kg block and the inclined plane is 4 N while the kinetic frictional force between the 8 kg block and the horizontal plane is 8 N . 4.1 State Newton's second law of motion in words. 4.2 Draw a free body diagram of all forces acting on the 4 kg block. 4.3 Calculate the tension in the string connecting the two blocks. 4.4 The angle of inclination is decreased to \( 10^{\circ} \). How will the change affect the coefficient of kinetic friction? Choose from INCREASES, DECREASES or REMAINS THE SAME. Explain your answer. [14] Copyright reserved Please turn over \( 7+ \) T T us

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Ma. Theresa Alin verified

Numerade educator

Find the equation of the parabola that cuts the x-axis at -2 and 3. and the y-axis at the point. (0 ; -12).

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ANSWERED

Yujie Wang verified

Numerade educator

QUESTION 9 9.1 9.1.1 Find the equation of the parabola that cuts the x-axis at -2 and 3. and the y-axis at the point, (0 ; -12). (4) 9.1.2 Write your answer in QUESTION 9.1.1 in the form y = a(x - p)² + q. (3) 9.2 In the diagram below, f(x) = -x² + x + 12 and g(x) = mx + c

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4 Mathematics Assignment ORTL/2024 QUESTION 2 2.1 Complete the following statement: The line drawn from the centre of the circle to the midpoint of the chord is ... (1) (4) 2.2 Use the diagram below to prove the theorem that: the line drawn from the centre of the chord perpendicular to the chord bisects the chord. 2.3 In the diagram below \( \mathrm{BD} \) is the diameter of the circle with centre \( \mathrm{O} . \mathrm{AB}=\mathrm{AC}, \hat{\mathrm{O}}_{1}=40^{\circ} \), \( \mathrm{CD}=40 \mathrm{~mm} \) and \( \mathrm{AB}=15 \mathrm{~mm} \). Calculate: \( 2.3 .1 \quad \hat{B} \) 2.3.2 The length of line AE. (3) (6)

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Daniel Carr verified

Numerade educator

QUESTION 1 1.1 In the diagram below the coordinate of the point P(k ; 3) are given with PÔX = ? and the length of PO = 5 units. Determine the value of: 1.1.1 k (2) 1.1.2 tan ? (1) 1.1.3 cos ? if ? + ? = 540° (3) 1.1.4 ? (2) QUESTION 2 2.1 Complete the following statement: The line drawn from the centre of the circle to the midpc 2.2 Use the diagram below to prove the theorem that: the l chord perpendicular to the chord bisects the chord. 2.3 In the diagram below BD is the diameter of the circle CD = 40 mm and AB = 15 mm.

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INSTANT ANSWER

1.2 Simplify WITHOUT the use of a calculator: 1.2.1 \[ \frac{\cos \left(90^{\circ}+x\right) \cdot \sin \left(180^{\circ}+x\right)}{\tan 225^{\circ}-\cos ^{2}(-x)} \] 1.2 .2 \[ \frac{\sin 210^{\circ} \cdot \cos 790^{\circ} \cdot \tan \left(-330^{\circ}\right)}{\sin 160^{\circ}} \] 1.3 Prove that; \( \quad \frac{1}{\tan x}+\frac{\sin x}{1+\cos x}=\frac{1}{\sin x} \) (5) 1.4 Determine the general solution of \( 2 \cos 2 x=-0,44 \)

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