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What is the value of sin(theta), cos(theta), tan(theta) where theta = 0, 30, 45, 60, 90

sin(0) = 0 ; sin(30) = 1/2; sin(45) = 1/sqrt(2); sin(60) = sqrt(3)/2; sin(90) = 1cos(0) = 1; cos(30) = sqrt(3)/2; cos(45) = 1/sqrt(2); cos(60) = 1/2; cos(90) = 0 tan(0) = 0; tan(30) = 1...

Answered by Luqman B. • Maths tutor

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(i) Prove sin(θ)/cos(θ) + cos(θ)/sin(θ) = 2cosec(2θ) , (ii) draw draph of y = 2cosec(2θ) for 0<θ< 360°, (iii) solve to 1 d.p. : sin(θ)/cos(θ) + cos(θ)/sin(θ) = 3.

For (i) Start by looking at left hand side of the equation. It is usually much easier to reduce large expression into smaller ones. So, LHS = sin²(θ) +cos²(θ)/ sin(θ)cos(θ). Since, s...

Answered by Rabin K. • Maths tutor

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The equation of line L is y= 3x+2 and the equation of line M is 3y–9x+5=0. Show that these lines are parallel.

First step is to understand what it means for lines to be parallel. This is when the gradients of two lines are the same.This is much easier to see when the format of the equations is the same, so lets re...

Answered by Paulius P. • Maths tutor

3253 Views

Of the following 4 equations, 3 of them represent parallel lines. Which is the odd one out?

2y - 3x = 4 2) -12x = 4(1 - 2y) 3) y - 5 = 3(x - 1)/2 4) 3(y - x) = 4 - y This question relies on the student's understanding of parallel lines as well as their ability to rearrange equations. The k...

Answered by Wayne S. • Maths tutor

3068 Views

Solve algebraically the system of equations: 4x+5y=-3 and 6x-2y=5

Label both equations to make it easy to refer to them in your answerEqn 1: 4x+5y=-3Eqn 2: 6x-2y=5To solve these equations we need to be able to eliminate either the y terms or the x terms. In ord...

Answered by Emma R. • Maths tutor

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