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3 years ago

I'm having trouble with these math problems, sorry about the quality.

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

8 0

6. is Trapezoid.

7. is all 17.

8. is B.

5 i can't understand so just wild guess on that one

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andriy [413]

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3 years ago

(a) If tan A=x/y prove that: y.cos2A +x.sin2A= y. Please help me..

katrin2010 [14]

Answer: see proof below

Step-by-step explanation:

Use the following Double Angle Identities: cos 2A = 1 - 2sin²A

sin 2A = 2sinA · cosA

$\text{Given:}\quad \tan A = \dfrac{x}{y}$

Proof LHS = RHS

y cos 2A + x sin 2A = y

x sin 2A = y - y cos 2A

x sin 2A = y(1 - cos 2A)

$\dfrac{x}{y}=\dfrac{1-\cos2A}{sin\ 2A}$

$\dfrac{x}{y}=\dfrac{1-(1-2sin^2A)}{2\sin A\cdot \cos A}$

$\dfrac{x}{y}=\dfrac{2sin^2A}{2\sin A\cdot \cos A}$

$\dfrac{x}{y}=\dfrac{\sin A}{\cos A}$

$\dfrac{x}{y}=\tan A}$

This is a TRUE statement since it was given that $\tan A = \dfrac{x}{y}$

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3 years ago