2 years ago

Phoebe took a survey of her classmates' favorite sport. The results are in the table below:

Mathematics

1 answer:

olga55 [171]2 years ago

7 0

Answer:

.14

Step-by-step explanation:

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If a cot α = 1 and b cos α = 1, find a2 – b 2

S_A_V [24]

The equivalent expression of the different of two square is -1

Given the following expressions

a cot α = 1

a = 1/cot α = sinα/cosα

b = 1/cos α

We are to find the expression a² - b²

According to difference of two squares;

a² - b² = (a + b) (a - b)

Substitute the given expressions into the formula as shown:

$a^2 - b^2 = (\frac{sin \alpha}{cos \alpha} )^2 - (\frac{1}{cos \alpha} )^2\\a^2 - b^2=\frac{sin^2 \alpha}{cos^2 \alpha} -\frac{1}{cos ^2 \alpha}\\a^2 - b^2=\frac{sin^2 \alpha-1}{cos^2\alpha}\\a^2 - b^2=\frac{-(1-sin^2\alpha)}{cos^2\alpha} \\a^2 - b^2=\frac{-os^2 \alpha}{cos^2 \alpha}\\a^2 - b^2 = -1$