3 years ago

Verify the identity sin^2(x/2)=(1-cosx)/2

Mathematics

1 answer:

horsena [70]3 years ago

5 0

Use the following identity:

cos(2x)=1-2sin^2(x)

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olga2289 [7]

Answer:

x>5

Step-by-step explanation:

Subtract 3 from both sides.

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3 years ago

What is equivalent to ln(e^3)

malfutka [58]

Answer:

Step-by-step explanation:

The natural log is the inverse of the exponential (and vise versa), so ln(e^3) = 3.

(This is the also same as e^(ln3))

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2 years ago

A triangle has side lengths measuring 2x + 2 ft x + 3 ft, and

Marta_Voda [28]

Answer:

$3x+5 < n < x-1$

Step-by-step explanation:

we know that

The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the Triangle Inequality Theorem

1) $(2x+2)+(x+3) > n$

solve for n

$3x+5> n$

Rewrite

$n$

2) $(x+3)+n> 2x+2$

$n> x-1$

therefore

$3x+5 < n < x-1$

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3 years ago

If f(x) and f -1 (x) are inverse functions of each other and f(x) = 2x+5, what is f -1 (8)?

Aleksandr [31]

Answer: 3/2

Step-by-step explanation:

The first one: y=2x+5

X=2y+5.Then solve for y after switching x and y

X-5=2y, X-5/2=y

Since F-1= X-5/ 2, we plug the value of X in

8-5/2, so it should be 3/2

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3 years ago