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Nitella [24]
3 years ago
15

Verify the identity. cot. (x - (pi/2)) = -tan xPlease, help me!!!

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

cot . (x- π/2)= - tanx

Step-by-step explanation:

cot . (x- π/2)= - tanx

cot .x - cot π/2= - tanx

cot π/2= 1/tanπ/2

But tan π/2= ∞

cot π/2 = 1/∞= 0

cotx - 0= - tanx

cot x = - tanx

cosx/sinx= - sinx/cosx             Putting values of cot and tan

cosx/ sinx ( sinx/cos x) = -sinx/cos x  (sinx/cos x )  

Multiplying both sides with  sinx/cos x    

1= - sin²x/cos²x

cos²x= - sin²x                 as cosx = -sinx

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Answer:

Option B.

Step-by-step explanation:

The given expression is

5p+3p+(-9)

We need to find an expression which is equivalent to the given expression.

Combine like terms.

(5p+3p)-9

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The simplified form of given expression is 8p-9. So, option A is incorrect.

In option B, the given expression

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Using distributive property, we get

3p-9+5p

Combined liker terms.

(5p+3p)-9

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It is same as the simplified form of given expression.

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2 years ago
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Dimas [21]

Answer:

18= 2 x 3 x 3

Step-by-step explanation:

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Cylinder E has the following dimensions: h = 30 cm and r = 4 cm. Cylinder F has the same radius, but has a height of 5 cm . What
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Answer:

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Step-by-step explanation:

Given data

Cylinder E

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r = 4 cm

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V= 3.142*16*30

V=1508.16 cm^3

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h=5 cm

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*5

V= 3.142*16*5

V=251.36 cm^3

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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