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3 years ago

Determine which equation below has a solution of x= 1/2

Mathematics

1 answer:

masya89 [10]3 years ago

3 0

Answer:2x-1=0

Step-by-step explanation:

x=1/2

Cross multiply

2x=1

Subtract 1 from both sides

2x-1=1-1

2x-1=0

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Show that √(1-cos A/1+cos A) =cosec A - cot A

Gennadij [26K]

Hi there!

$\sqrt{\frac{1-cosA}{1+cosA}} =$

We can begin by multiplying by its conjugate:

$\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =$

Simplify using the identity:

$1 - cos^2A = sin^2A$

$\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =$

Take the square root of the expression:

${\frac{sinA}{1+cosA} =$

Multiply again by the conjugate to get a SINGLE term in the denominator:

${\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\$

Simplify:

${\frac{sinA(1-cosA)}{1-cos^2A} =$

Use the above trig identity one more:

${\frac{sinA(1-cosA)}{sin^2A} =$

Cancel out sinA:

${\frac{(1-cosA)}{sinA} =$

Split the fraction into two:

${\frac{1}{sinA} - \frac{cosA}{sinA} =$

Recall:

$1/sinA = cscA\\\\cosA/sinA = cotA$

Simplify:

$\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}$

5 0

2 years ago

An aircraft is timetabled to travel from a to b. due to bad weather it flies from a to c then from c to b, where ab and cb make

DochEvi [55]

Answer:240.5

Step-by-step explanation:

Angle C = 87°(calculated)

AB=C

AC=220=b

Sine laws c\sin87=220\66

c=240.5

3 0

1 year ago

Determine the smallest integer that makes – 3.2 + 7 - 52 < 15 true.

Natalija [7]

Answer:

-3.2 is the smallest integer

Step-by-step explanation:

3 0

2 years ago

the width of Jana's rectangular classroom is 1 meter more then 1/4 of its length. if the perimeter of the classroom is 24 meters

Bumek [7]

Let's call the length L, the width w.
We have w=1+L/4.
The perimeter is P=2(L+w)=24 hence L+w=12
L+w=L+(1+L/4)=5L/4+1=12
Hence L=11/5*4=8.8 meters

4 0

2 years ago

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PLEASE HELP BRAINLY ANSWER

Tema [17]

I’m Not 100% Sure, But I Would Think 13.1% Is The Answer.

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3 years ago

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