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VashaNatasha [74]
2 years ago
6

Given that €1 =£0.75 a how much is €530 in £ b £1 =€

Mathematics
1 answer:
Genrish500 [490]2 years ago
4 0

Answer:

a) £397.50
b) £1 ≈ €1.33

Given:

€1 = £0.75
To find out:
a)

€530 = £0.75 × 530

€530 = £397.50

b)

Since £397.50 = €530:

£1 = €530 ÷ 397.5

£1 = €1.33333333333

£1 ≈ €1.33

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A.)

   \csc^2(x) \tan^2 (x)- 1 = \tan^2(x)

Use the identities \csc x = 1 / \sin x and \tan x = \sin x / \cos x on the left-hand side

   \begin{aligned}
\text{LHS} &= \csc^2(x) \tan^2 (x)- 1 \\
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Make 1 have a common denominator to allow for fraction subtraction
Multiply the numerator and denominator of 1 by cos^2 x

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Use Pythagorean identity for the numerator.

If \sin^2 (x) + \cos^2(x) = 1 then subtracting both sides by \cos^2 (x) yields \sin^2(x) = 1 - \cos^2(x). We can substitute that into the numerator

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======

b.)

   \dfrac{\sec(x)}{\cos(x)} - \dfrac{\tan(x)}{\cot(x)} = 1

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   \begin{aligned} \text{LHS} &= \frac{1}{\cos^2 (x)} - \frac{1}{\frac{\cos^2(x)}{\sin^2(x)} } \\ &= \frac{1}{\cos^2 (x)} -\frac{\sin^2(x)}{\cos^2(x)} \\ &= \frac{1 - \sin^2(x)}{\cos^2 (x)} \end{aligned}

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