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just olya [345]
2 years ago
12

Prove the following: 1 by sin 2A + cos4a by sin 4A equals to COT A minus Cosec4A​

Mathematics
2 answers:
n200080 [17]2 years ago
4 0

Answer:

cotA-cosec4A

Step-by-step explanation:

LHS=1/sin2A + cos4A/sin4A

=1/sin2A +cos4A/2sin2.Acos2A

=1/sin2A (1+cos4A/2cos2A)

=1/sin2A(2cos2A+cos^2A-sin^3A)/2Cos2A

=1/sin2A(2cos2A+cos^2Ac-(1-cos^2A)/2cos2A

=1/sin2A(2cosA(1+cos2A)-1)/2cos2A

=1/sin2A(1+cos2A-1/2cos2A)

=1+cos2A/sin2A-1/sin2A.cos2A

=1+2cos^A-1/2sinA.cosA-1/sin4A

=2cos^A/2sinA.cosA-1/sin4A

=cosA/sinA-1/sin4A

=cotA-cosec4A

=LHS=RHS

Solnce55 [7]2 years ago
3 0

Answer:

nice thanks for answer

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7 0
2 years ago
6) A standard deck has 52 cards, and contains 13 cards of each of the four suits: diamonds, spades, hearts, and clubs. What is t
Crazy boy [7]

Answer:

\dfrac{12}{51}\cong\dfrac{4}{17}

Step-by-step explanation:

You have 52 cards in a deck and 13 cards of each suit.

The probability of picking a diamond in a complete deck of cards is:

\dfrac {13}{52}

Or the probability is 13 put of 52.

Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:

\dfrac{12}{51}

If we simplify it you will have a probability of:

\dfrac{4}{17}

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2 years ago
What is the equation of the line h Th ya has a y intercept of (0,-3) and passes through the point (-9,-9)
Nikolay [14]

Answer:

The line equation is given as: 3 y = 2 x - 9

Step-by-step explanation:

Here, Y intercept   is at point ( 0.-3)

So, at x = 0, y = -3

or, C  = -3

Also, the point on the equation line is (x,y)  = (-9,-9)

Now, by <u>SLOPE INTERCEPT FORM</u> of a line equation,we get:

y = m x + C   :  m  = slope of line  ......... (1)

So, substituting the values of C and (x,y) , we get:

-9  = m (-9)  + (-3)  

or, -9 + 3  = - 9 m

or, m =  -6/-9  = 2/3

or, m = 2/3

Now, substitute the value of m back in to the line equation (1)

y = m x + C   \implies  y = (\frac{2}{3}) x - 3\\\implies 3y = 2x - 9

Hence, the line equation is given as: 3 y = 2 x - 9.

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3 years ago
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astraxan [27]

The answer is Vertical angles are equal.

5 0
3 years ago
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You start at (3, 0). You move right 1 unit and left 2 units. Where do you end?​
SVEN [57.7K]

Answer:

2,0

Step-by-step explanation:

8 0
3 years ago
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