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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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Lynna [10]
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1. Add -1.4 to each side.
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Hope this helps
4 0
3 years ago
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Evaluate the following expression. 3^-2
Crazy boy [7]

Answer: The simplified form is \frac{1}{9}

Step-by-step explanation:

Since we have given that

3^{-2}

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a^{-1}=\frac{1}{a^m}

So, it becomes

3^{-2}=\frac{1}{3^2}

Now, at last it becomes,

3^{-2}=\frac{1}{3\times 3}=\frac{1}{9}

Hence, the simplified form is \frac{1}{9}

8 0
4 years ago
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The product 33 × 90 is more than 32 × 90. How much more? Complete the explanation for how you know without multiplying.
Tju [1.3M]

Answer:

90, there are 32 ninetys in 32 X 90 and there are 33 ninetys in 33 X 90, meaning there is one more 90 in 33 X 90 than 32 X 90

5 0
3 years ago
The difference between two numbers is 5. six times the larger number is 8 times the smaller number. write a system of equations
Ksenya-84 [330]
X - y = 5....x = 5 + y
6x = 8y

6(5 + y) = 8y
30 + 6y = 8y
30 = 8y - 6y
30 = 2y
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x - y = 5
x - 15 = 5
x = 15 + 5
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ur 2 numbers are : 20 and 15
6 0
3 years ago
Can you guys check these :) I’ll give brainleist :)
stiv31 [10]

Answer:

9. No

10. Yes

Step-by-step explanation:

The first one is not, since you have (3, 3) and (3, 9).  In a function, each x maps to a single y.

The second one is since every x appears only once.

8 0
3 years ago
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