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const2013 [10]
3 years ago
11

Prove the following 1- sin A sin (90-1)/cot (90-a)= sin^2 A

Mathematics
1 answer:
Anna [14]3 years ago
7 0

Im going to assume its (90 - A) so we have:-

1 - sinA sin (90 - A) / cot (90 - A)

Convert to sines and cosines:-

= 1 - (sin A cos A) / cos ( 90 - A) / sin ( 90 - A)

= 1 - (sin A cos A) / sin A / cos A

= 1 - cos^2 A

= sin^2 A which is what is required.


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The transformation can be translation, rotation, reflection, etc.

Let us not use this definition of isometry to answer our question, one at a time.

(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>

(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.

(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>

6 0
3 years ago
Which expresses 216:270 in its simple form
Ivanshal [37]

Answer:

4/5

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 216 and 270 is 54

Divide both the numerator and denominator by the GCD

216 ÷ 54

270 ÷ 54

Reduced fraction:  

4

5

5 0
4 years ago
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const2013 [10]
Well, what is the perimeter? Does it tell you what the perimeter is? If not, i can't help:(
8 0
3 years ago
an object starts from rest and accelerates at a rate of 4 m/s^2 for 3 seconds. What is its displacement from the start position?
timurjin [86]
It’s displacement is 18m away!!
3 0
3 years ago
Is the sum the sum of the arithmetic 1635?​
horsena [70]

Answer:

1199

Step-by-step explanation:

There are 22 terms in the sum:

23 + 26 + 29 + ... + 80 + 83 + 86 =

= (23 + 86) + (26 + 83) + ... + (53 + 56)

= 109 + 109 + ... + 109

= 11(109)

= 1199

7 0
3 years ago
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