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motikmotik
3 years ago
10

Prove that sin x /(cosec x-cotx) = 1+ cos x​

Mathematics
1 answer:
anastassius [24]3 years ago
3 0
Here’s a photo of my working out. There’s heaps of ways to do this but this is what I got...

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What is the solution set to the inequality
creativ13 [48]

(4x - 3)(2x - 1) \geqslant 0 \\ \Leftrightarrow \begin{cases}4x - 3 \geqslant 0 \\ 2x - 1 \geqslant 0\end{cases}\: \vee \:\begin{cases}4x - 3 \leqslant 0 \\2x - 1 \leqslant 0 \end{cases} \\ \Leftrightarrow \begin{cases}x \geqslant  \frac{3}{4}  \\ x  \geqslant  \frac{1}{2} \end{cases}\: \vee \:\begin{cases}x\leqslant  \frac{3}{4}  \\x \leqslant  \frac{1}{2}  \end{cases} \\ \Leftrightarrow x \geqslant  \frac{3}{4} \: \vee \: x \leqslant  \frac{1}{2}  \\ \Rightarrow The\: third\: option

5 0
3 years ago
Read 2 more answers
How do you put 27% ,miles per hour , 42% and 45 in a sentence
Serjik [45]
  There are a number of possible combinations for this open-ended question, so here's an example question and answer, in which the two are non-related:
 James' car is going at 45 miles per hour, and that is 42% of his maximum speed. How much slower does James have to go to be 27% of his maximum speed?
 Amy's car used to be able to go at 45 miles per hour as 42% of her maximum speed, but due to the new upgrade, 45 miles per hour is now only 27% of her maximum speed.
7 0
3 years ago
y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. What is the value of y when x = 5 m and z = 12 m
Fantom [35]
We are given y = kxz
We also know 32 = k×6×8, so k = 32/48 = 2/3.
We are then asked to solve:

y =  \frac{2}{3}  \times 5 \times 12 = 40
3 0
3 years ago
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Of the computer games Lynne owns, 5-12 are sport games and 3-12 are educational. What fraction of the games are either sport gam
Serhud [2]
Of 5 out of 12 (5/12) are sports games and 3 out of 12 (3/12) are educational, then you would add these together because you need a total for both because it would include one or the other, so both.

5/12 + 3/12= 8/12 or 2/3 are one or the other.
8 0
3 years ago
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A 15-foot ladder leans against a house. The bottom of the ladder is 7 feet from the house. To the nearest degree, what angle doe
max2010maxim [7]
The ladder is forming a right triangle with the house. In this right triangle the hypotenuse is the measure of the ladder, and the distance between the house and he ladder is one of the sides of the triangle. To find the angle, \alpha, that the ladder is making with the ground, we are going to use a trig function that relates the adjacent side of our angle with the hypotenuse. That trig function is Cosine. 
Cos \alpha = \frac{adjacent.side}{hypotenuse}
Cos \alpha = \frac{7}{15}
\alpha =arcCos( \frac{7}{15} )
\alpha =62.2

We can conclude that the ladder make with the ground a 62° angle.
7 0
3 years ago
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