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(a) By using a suitable trigonometrical identity, solve the equation tan(2x-π/6)^2 =11-sec(2x-π/6)giving all values of x in radians to two decimal places in the interval 0<=x <=π .

say (2x-π/6)=qtan2q = sec2q-1so sec2q-1= 11 - sec q sec2q + sec q -12 = 0(sec q -3) (sec q + 4) = 0sec q = 3 or -4because 0<=x<= πso -π/6 <= q <= 11...

ZZ
Answered by Zhaohui Z. Maths tutor
8714 Views

There are 895 litres of petrol in Mr Turners petrol tank, he uses 19.7 litres of petrol a day. Estimate the number of days it will take him to use all the petrol in the tank.

895 is approximately 90019.7 is approximately 20 900/20 = 45 it will take approximately 45 days to use all the oil in the tank

HT
Answered by Henry T. Maths tutor
2846 Views

Solve the following equation: 7x + 6 = -5x - 42

First, we gather like terms: 7x + 5x = -42 - 6 This gives: 12x = -48Now we can divide both sides by 12 to solve for x: 12x/12 = -48/12This gives: x = -4

KY
Answered by Kyle Y. Maths tutor
3989 Views

Solve this set of simultaneous equations. 1. 4x+2y=12 2. 2x+3y=10

To solve simultaneous equations we need to make either the y coefficients or the x coefficients equal so that we can cancel them out. For this set of equations we are going to make the x coefficients the ...

GB
Answered by Georgia B. Maths tutor
4118 Views

Solve ln(2x-3) = 1

eln(2x-3) = e1
2x-3 = e
x = (e+3)/2

JC
Answered by Jonathan C. Maths tutor
5671 Views

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