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3 years ago

How long is the blue line segment?

Mathematics

1 answer:

ikadub [295]3 years ago

6 0

Answer:

its A

Step-by-step explanation:

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Cos (90-theta) • cosec90-theta) =tano. How?

denis-greek [22]

Answer:

______________________________________________________

TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-

For any right angled triangle with one angle α ,

$\cos (90 - \alpha ) = \sin \alpha$ or $\sin(90 - \alpha ) = \cos\alpha$

$cosec \: (90 - \alpha ) = \sec\alpha$ or $\sec(90 - \alpha ) = cosec\:\alpha$

SOME GENERAL TRIGNOMETRIC FORMULAS :-

$\sin \alpha = \frac{1}{cosec \: \alpha }$ or $cosec \: \alpha = \frac{1}{\sin \alpha }$

$\cos \alpha = \frac{1}{\sec \alpha }$ or $\sec \alpha = \frac{1}{\cos \alpha }$

______________________________________________________

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

$\cos (90 - \alpha ) \times cosec(90 - \alpha )$

$=> sin\alpha \times \sec\alpha$

$=> \sin\alpha \times \frac{1}{\cos\alpha }$

$=> \frac{\sin\alpha }{\cos\alpha }$

$=> \tan\alpha$ = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0

2 years ago

Describe what the notation upper p left parenthesis upper b vertical line upper a right parenthesis represents. choose the corre

morpeh [17]

The correct answer is b), the probability of B occurring given A has occurred.

8 0

3 years ago

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9s - 5g = -4y, for s

Oksi-84 [34.3K]

S = (5g -4y)/9

hope this helps

4 0

3 years ago

HELP! last one of the day!

quester [9]

The bisector of the angle at A (call it AQ) divides the segment BC into segments BQ:QC having the ratio AB:AC. Use this fact to find x.

.. 9:15 = (2x -1):3x
.. 15(2x -1) = 9*3x . . . . . the product of the means equals the product of extremes
.. 30x -15 = 27x
.. 3x = 15
.. x = 5

___
According to the value of x, the bisector AQ divides the triangle into two isosceles triangles: ABQ, ACQ.

7 0

3 years ago

Can someone show me how to factor this? 5k-35

kaheart [24]

Sure.
Can you find a number that goes into both terms, 5k and 35 ?
How about 5 ?

(5k - 35) = 5 times (k - 7) .

6 0

2 years ago

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