Factorisation of 6 and

Mathematics

1 answer:

andrew-mc [135]3 years ago

8 0

Step-by-step explanation:

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Prove that 1/sin^2A -1/tan^2A= 1

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Step-by-step explanation:

$LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS$

Hint: 1 - Cos² A = Sin² A

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Riley finished her 5k race in One-half hour. Darby finished the same race in Three-fifths hour. Which statement explains which g

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Answer:

Riley did better than Darby because One-half < Three-fifths.

Step-by-step explanation:

The statement that explains which girl did better would be that

Riley did better than Darby because One-half < Three-fifths.

There are a total of 60 minutes in an hour, If we multiply each of these fractions by 60 minutes it would give us the exact number of minutes that each girl took to finish the race.

Riley: $\frac{1}{2}$ * 60 = 30 minutes