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2 years ago

What if we write 4 3/8 as an improper fraction.

Mathematics

2 answers:

prohojiy [21]2 years ago

8 0

Answer:

35/8

Step-by-step explanation:

improper means one fraction so 35/8 because 32/8+3/8

Marina CMI [18]2 years ago

8 0

Answer:

it would be improper. 4 3/8 would be 35/8 if as a improper fraction if thats what u meant to ask

Step-by-step explanation:

4 times 8 =32 + 3 =35 so 35/8 is the improper fraction

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If sinA+cosecA=3 find the value of sin2A+cosec2A

Irina18 [472]

Answer:

$\sin 2A + \csc 2A = 2.122$

Step-by-step explanation:

Let $f(A) = \sin A + \csc A$ , we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

$\csc A = \frac{1}{\sin A}$ (1)

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Now we perform the operations: $f(A) = 3$

$\sin A + \csc A = 3$

$\sin A + \frac{1}{\sin A} = 3$

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By the quadratic formula, we find the following solutions:

$\sin A_{1} \approx 2.618$ and $\sin A_{2} \approx 0.382$

Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

$\sin A \approx 0.382$

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

$A \approx 22.457^{\circ}$

Then, the values of the cosine associated with that angle is:

$\cos A \approx 0.924$

Now, we have that $f(A) = \sin 2A +\csc2A$ , we proceed to transform the expression into an equivalent form with sines and cosines. The following trignometrical identities are used: