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3 years ago

Prove this trigonometric identitysin 3x/sin x - cos 3x/cos x =2

Mathematics

1 answer:

Sveta_85 [38]3 years ago

8 0

Step-by-step explanation:

LHS= sin 3x/sin x - cos 3x/cosx

Taking LCM,

=sin3xcosx- cos3xsinx

sinxcosx

=sin(3x-x)

sinxcosx

= 2sin2x

2sinxcosx

= 2sin2x

sin2x

= RHS.

Proved.

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Answer:

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3 years ago

7g + 11 subtracted from 12

BlackZzzverrR [31]

A subtracted from b means b-a

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3 years ago

A caterpillar started at point (−2.5, −5.5) on a coordinate plane. She crawled in a straight line through the origin to point (4

alexgriva [62]

Answer:

The value of y is $99$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

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6 0

3 years ago

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What is the volume of a sphere having a diameter of 6 cm?

leonid [27]

Answer:

113.1

Step-by-step explanation:

Volume of sphere = $\frac{4}{3}$ × π × r²

Volume of sphere = $\frac{4}{3}$ × π × 3²

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3 years ago

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OverLord2011 [107]

Answer:

$\huge \boxed{2\sqrt{5} +\sqrt{35}}$

Step-by-step explanation:

$\sqrt{5} (2+\sqrt{7} )$

Expand brackets.

$\sqrt{5} (2)+\sqrt{5}(\sqrt{7} )$

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Apply radical rule : $\sqrt{a} \sqrt{b} =\sqrt{ab}$

$2\sqrt{5} +\sqrt{5 \times 7}$

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3 years ago

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Prove this trigonometric identitysin ​3x/sin x - cos 3x/cos x =2

Prove this trigonometric identitysin 3x/sin x - cos 3x/cos x =2