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Maru [420]
2 years ago
15

Sin2A+Sin2B÷Sin2A-Sin2B=Tan(A+B)÷Tan(A-B) Prove that​

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

Take L.H.S sin2A+sin2B/sin2A-sin2B

= sin2A+sin2B/sin2A-sin2B

Put

[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]

[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]

= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)

= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)

= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)

= tan(A+B).cot(A-B)

= tan(A+B).1/tan(A-B)

= tan(A+B)/tan(A-B)

∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)

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Julie made five loaves of bread that had 1/4 cup of flour in each loaf. How many cups of flour were used in all?
Liono4ka [1.6K]

Answer:

1 1/4 cups in total

Step-by-step explanation:

1 loaf-1/4 cup

2 loaf- 2/4 cup

3 loaf= 3/4 cup

4 loaf=4/4 cup

5 loafs in total equal: 1 1/4

Hope this helped!

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3 years ago
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5 0
2 years ago
Write each number<br><br> 1. 1,000 more than 3,872
Mrac [35]

The value for a number that is 1000 more than 3,872 will be 4,872

In the given question, it is stated that we have to find out the value of the expression given. The expression states that we have to find out a number that is 1000 more than 3872.

This can easily be done. To find out the value for a number that is 1000 greater than 3872, we just need to add the value to the number i.e. we need to add 1000 to 3872. Let the new number be 'x'.

So, by solving this condition, we get

=> x = 3872 + 1000

=> x = 4872

Here we get x = 4872.

Hence, 1000 more than 3,872 will be 4,872.

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6 0
11 months ago
There were 60 points on Tom's first math test. He scored 75% of the points. How many points did Tom earn? a 60 b 45 c 15 d 50
Lana71 [14]
Multiply 60 by .75, which gives you 45 Points. The answer is B.
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3 years ago
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Someone please help :)
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