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3 years ago

Csc α - sin α =cos α cot α Show how this is an identity?

1 answer:

8 0

Csc a - sin a = cos a cot a
1/sin a - sin a = cos a (cos a / sin a)
(1 - sin^2 a)/sin a = cos^2 a/sin a
cos^2 a/sin a = cos^2 a/sin a

Therefore, the given equation is an identity.

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Roy and Sam start solving the equation as follows.

denpristay [2]

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

$-3x+4=5x-6$

According to the addition property of equality $a=b$ and $a+c=b+c$ are equivalent equations.

Use addition property of equality, add 3x on both the sides.

$-3x+4+3x=5x-6+3x$

$4=8x-6$

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality $a=b$ and $a-c=b-c$ are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

$-3x+4-5x=5x-6-5x$

$-8x+4=-6$

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

7 0

3 years ago

Covert the measurements 3km 312m

marin [14]

3,312m is your answer

3 0

3 years ago

Joaquin is constructing the perpendicular bisector of AB. What should be his

Licemer1 [7]

The correct answer is C

4 0

3 years ago

1. Solve for x.

bekas [8.4K]

Hope this helps
1. X= 4
2. X=7
3. 8.7x10^10

3 0

3 years ago

Use the function below to find f(-2)<br><br> f(x)=5^x

Thepotemich [5.8K]

Answer:

1/25

Step-by-step explanation:

f(x)=5^x

Let x = -2

f(-2)=5^-2

We know that a^-b = 1/a^b

= 1/5^2

= 1/25

4 0

3 years ago