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worty [1.4K]
3 years ago
6

PLEASE CHECK AND SEE IF I'M CORRECT!!! CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
jeka57 [31]3 years ago
5 0
BD is right but PA is wrong, would be BD and MK.
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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

<u>Step-by-step explanation:</u>

Here we have , cosxtanx - 2 cos^2 x=-1. Let's solve :

⇒  cosxtanx - 2 cos^2 x=-1

⇒  cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1

⇒  sinx = 2 cos^2 x-1

⇒  sinx = 2 (1-sin^2x)-1

⇒  sinx = 1-2sin^2x

⇒  2sin^2x+sinx-1=0

By quadratic formula :

⇒ sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}

⇒ sinx = \frac{-1 \pm3}{4}

⇒ sinx = \frac{1}{2} , sinx =-1

⇒ sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}

⇒ x=\frac{\pi}{6} , x=\frac{3\pi}{2}

But at x=\frac{3\pi}{2} we have equation undefined as cos\frac{3\pi}{2}=0 . Hence only solution is :

⇒ x=\frac{\pi}{6}

Since , sin(\pi -x)=sinx

⇒ x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}

Now , General Solution is given by :

⇒ x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6}

Therefore , Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

3 0
3 years ago
for what base-6 digit $d$ is $2dd5 6$ divisible by the base 10 number 11? (here $2dd5 6$ represents a base-6 number whose first
nevsk [136]

The digits base is 7 then we should convert them into base 6.

The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logbn.

Here the conclusion is that there are many bases in the mathematics so what will happen is that we should convert these bases. For example, we have to convert base 10 of a number which is called decimal number can be converted into binary number whose base is 2 and after then if the digits base is 7 then we should convert them into base 6.

To learn more about power visit brainly.com/question/14265973

SPJ4

5 0
2 years ago
What is the value of y?
Aleks04 [339]
To solve for the value of y, all you have to do is add up all the expressions and values together and make it equal to 180 degrees.

Y + (Y - 12) + 56 = 180
2Y - 12 + 56 = 180
2Y + 44 = 180
Y = 68 degrees.
3 0
4 years ago
Divide a fraction by 1/2 the result was a mixed number was the original fraction less than or greater than 1/2
aliina [53]
Your original fraction was probably greater than 1/2 because if it was less than you wouldn't be able to divide it.
5 0
4 years ago
Write the solution of the inequality in set builder notation: 2(3p-11)&gt;=-16
Dima020 [189]
The answer would be 
p≥1

hope this helps :3
8 0
3 years ago
Read 2 more answers
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