All categories

3 years ago

Sec(x)-tan(x)=1/sec(x)+tan(x)

Mathematics

1 answer:

Rama09 [41]3 years ago

3 0

Answer:

Step-by-step explanation:

I assume that you mean

sec(x)-tan(x) = 1 / ( sec(x) + tan(x) ) , right ?

then this is equivalent to

[ sec(x) - tan(x) ] x [ sec(x) + tan(x) ] = 1

let s evaluate it, we got

sec2(x) - sec(x)tan(x) + - sec(x)tan(x) - tan2(x) = sec2(x) - tan2(x)

= (1 - sin2(x) ) / cos2(x) = cos2(x) / cos2(x) = 1

as cos2(x) + sin2(x) = 1

You might be interested in

9) WILL MARK BRAINLIEST + 10 POINTS. Please help with question. :)

Masja [62]

Answer is A.
√6 + √2
-----------
4

6 0

3 years ago

Read 2 more answers

Assume that different groups of couples use the XSORT method of gender selection and each couple gives birth to one baby. The XS

olganol [36]

Answer:

Mean and Standard deviation for the numbers of girls in groups of 36 births are 18 and 3 respectively.

Step-by-step explanation:

We are given that he X SORT method is designed to increase the likelihood that a baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5.

Now consider a group consisting of 36 couples.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r} \times (1-p)^{n-r} ;x=0,1,2,3,.....$

where, n = number of trials (samples) taken = 36 couples

r = number of success

p = probability of success which in our question is probability

of a girl, i.e.; p = 0.5

Let X = Numbers of girls in groups of 36 births

So, X ~ Binom(n = 36, p = 0.5)

Now, mean for the numbers of girls in groups of 36 births is given by;

Mean, E(X) = $n \times p$ = $36 \times 0.5$ = 18

Also, standard deviation for the numbers of girls in groups of 36 births is given by;

Standard deviation, S.D.(X) = $\sqrt{n\times p\times (1-p)}$

= $\sqrt{36\times 0.5\times (1-0.5)}$

= 3

3 0

3 years ago

What is the formula of area that has the side of 6 cm and the shape is a square

sashaice [31]

Answer:

$6^{2}$ or $6 * 6$

Step-by-step explanation:

Since a square's sides are all equal to each other you can use this formula for finding the area of a rectangle which is Base x Height or since all the sides are equal to each other you can just square the one side to get the desired answer!

3 0

3 years ago

19) Kyle has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in his account by the end

Karolina [17]

If Kyle starts with $600 and wants to end with (at least) $300 She can withdraw up to $600−$300=$300
If he withdraw 20$/ week the 300 will last for 300/20 = 15 weeks

8 0

3 years ago

M∠LONm, angle, L, O, N is a straight angle.

Ne4ueva [31]

Answer: 41

Step-by-step explanation:

5 0

3 years ago