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How would you increase 400 by 7%

First, we'd want to find out what 1% of 400 is. If 400 is the total number, that would make 400 the whole 100%. In order to find out 1% we'd want to divide the number by 100 which is 4. Now that we know 1...

TT
Answered by Tharani T. Maths tutor
11446 Views

Given that sin(x)^2 + cos(x)^2 = 1, show that sec(x)^2 - tan(x)^2 = 1 (2 marks). Hence solve for x: tan(x)^2 + cos(x) = 1, x ≠ (2n + 1)π and -2π < x =< 2π(3 marks)

sin(x)2 + cos(x)2 = 1

Dividing by cos(x)2 gives:

tan(x)2 + 1 = sec(x)2 

Which rearranges as:

sec(x)2 - tan(x)<...

AR
Answered by Alistair R. Maths tutor
3754 Views

Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a2 + b2 = c2    (Pythagoras' Theorem) 

a2 + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3))    (Expanding brackets)

a2 + 9 + 6√(3) + 6√(3...

RA
Answered by Rebecca A. Maths tutor
3878 Views

Solve for 0 =< x =< 360 16/(cos(x+25)+1) = 10, give answers to 2 d.p.

Rearrange to get cos(x+25) = 0.6

Use inverse cosine to get (x+25) = -53.13... 53.13... 306.86... 413.13...

Isolate x to get x = -78.13... 28.13... 281.86... 388.13...

Apply the limits...

BW
Answered by Barnaby W. Maths tutor
4115 Views

if f(x) = 7x-1 and g(x) = 4/(x-2), solve fg(x) = x

fg(x) = 7(4/x-2) -1 = x

28/(x-2) - 1 = x

28/(x-2) = x +1

28 = (x+1)(x-2)

28 = x2 - x - 2

0 = x2 - x - 30

0 = (x-6)(x+5)   x=6 x=-5

SW
Answered by Sophie W. Maths tutor
15417 Views

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