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3 years ago

Pls help me tysmmmm~

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

5 0

Yes let’s go ahead with me a few days and

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Sin theta+costheta/sintheta -costheta+sintheta-costheta/sintheta+costheta=2sec2/tan2 theta -1

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$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}=\dfrac{2sec^2\theta}{tan^2\theta-1}$

From Left side:

$\dfrac{sin\theta + cos\theta}{sin\theta-cos\theta}\bigg(\dfrac{sin\theta+cos\theta}{sin\theta+cos\theta}\bigg)+\dfrac{sin\theta-cos\theta}{sin\theta+cos\theta}\bigg(\dfrac{sin\theta-cos\theta}{sin\theta-cos\theta}\bigg)$

$\dfrac{sin^2\theta+2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}+\dfrac{sin^2\theta-2cos\thetasin\theta+cos^2\theta}{sin^2\theta-cos^2\theta}$

NOTE: sin²θ + cos²θ = 1

$\dfrac{1 + 2cos\theta sin\theta}{sin^2\theta-cos^2\theta}+\dfrac{1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{1 + 2cos\theta sin\theta+1-2cos\theta sin\theta}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{sin^2\theta-cos^2\theta}$

$\dfrac{2}{\bigg(sin^2\theta-cos^2\theta\bigg)\bigg(\dfrac{cos^2\theta}{cos^2\theta}\bigg)}$

$\dfrac{2sec^2\theta}{\dfrac{sin^2\theta}{cos^2\theta}-\dfrac{cos^2\theta}{cos^2\theta}}$

$\dfrac{2sec^2\theta}{tan^2\theta-1}$

Left side = Right side <em>so proof is complete</em>

8 0

3 years ago

Read 2 more answers

Choose an ecosystem near you.List three organisms in the ecosystem and describe limiting factors for each of them?

PilotLPTM [1.2K]

Urban ecosystem. 1) Birds - their limiting factor is the number of trees that can support their young2) Trees - amount of fertile soil, since buildings are abundant they can't grow properly3) Wild dogs - having a hard time to feed themselves due to scarce foodThank you for your question. Please don't hesitate to ask in Brainly your queries.

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2 years ago

Joseph is creating a dilation through point B with a scale factor of 2. Which statements about the dilation are correct? Check a

swat32

Answer:

Options (1), (2) and (4).

Step-by-step explanation:

Given question is incomplete; Find the complete question in the attachment.

Triangle ABC is a right triangle.

ΔABC has been dilated by a scale factor of 2 forming ΔA'B'C'.

These are the observations,

1). A and A' will be co-linear.

2). Since the given triangle has been dilated about a point B therefore, after dilation vertex B and B' will at be same location.

3). Length of B'C' = 2BC

4). AB and BC are the segments which will lie on the sides BA' and BC'.

5). Pre-image ABC will be inside the image A'B'C'.

Therefore, Options (1), (2) and (4) will be the answer.

4 0

3 years ago

Read 2 more answers