All categories

3 years ago

If sec 50 = cosec 70, prove that 0 = 7.5°

Mathematics

1 answer:

LiRa [457]3 years ago

7 0

Answer:

The proofing is given below:

Step-by-step explanation:

$Sec 5\theta = cosec 7\theta\\\\cosec (90 - 5\theta) = cosec 7\theta\\\\Now\ on\ comparision \\\\90 - 5\theta = 7\theta\\\\90 = 7\theta + 5\theta\\\\90 = 12\theta\\\\\frac{90}{12} = \theta\\\\0.75 = \theta$

Hence, it is proved

You might be interested in

PLEASE HELP ME ASAP!!!! fill in the blank. Height = length of _______.<br><br> it has 8 letters TYTY

PIT_PIT [208]

Is there any choices?

Maybe it’s triangle?

Hope I helped.

5 0

4 years ago

If f(x)=1/9x-2, what is f–1(x)?

jekas [21]

we are given

$f(x)=\frac{1}{9x-2}$

For finding inverse function , we do following steps

step-1:

Set f(x)=y

$y=\frac{1}{9x-2}$

step-2:

Switch x and y

$x=\frac{1}{9y-2}$

step-3:

now, we can solve for y

$x=\frac{1}{9y-2}$

Multiply both sides by 9y-2

$x\times (9y-2)=(9y-2)\times \frac{1}{9y-2}$

$x(9y-2)=1$

$9xy-2x=1$

Add both sides by 2x

$9xy-2x+2x=2x+1$

$9xy=2x+1$

now, we can divide both sides by 9x

$y=\frac{2x+1}{9x}$

so, we get inverse function as

$f^{-1}(x)=\frac{2x+1}{9x}$ ................Answer

3 0

3 years ago

For a positively skewed distribution with a mean of m = 20, what is the most probable value for the median?

Advocard [28]

Solution: For a positively skewed distribution with a mean of m=20, the most probable value for the median is less than 20.

<u>Explanation:</u>

We know that in a symmetric distribution, the relationship between mean, median and mode is:

$Mean =Median =Mode$

In case of negatively skewed distribution, the relationship between mean,median and mode is:

$Mean$

In case of positively skewed distribution, the relationship between mean,median and mode is:

$Mean>Median >Mode$

Therefore, for a positively skewed distribution with a mean of m = 20, the median would be less than Mean. Hence the probable value of median is less than 20

5 0

3 years ago

(x + 9) (x + 1)<br><br> Use the FOIL method, then Explain

viva [34]

Answer:

xˆ2+10x+9

Step-by-step explanation:

first, multiply x by x and by 1, that would be (xˆ2 and x), then multiply 9 by x and 1, that would be( 9x and 9), add the two parenthesis, and it totals out to xˆ2+10x+9

5 0

3 years ago

Simplify the expression (8+6i)(8-6i)

Amiraneli [1.4K]

Answer:

Step-by-step explanation:

$(8+6i)(8-6i)\qquad\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=8^2-(6i)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=64-6^2i^2\qquad\text{use}\ i^2=-1\\\\=64-(36)(-1)\\\\=64+36\\\\=100$

8 0

4 years ago

Read 2 more answers

If sec 50 = cosec 70, prove that 0 = 7.5°​

If sec 50 = cosec 70, prove that 0 = 7.5°