X5/7•x1/2 show your work

Cos4theta+cos2theta/ cos4theta-cos2theta= _____

vovangra [49]

$\bf \textit{Sum to Product Identities} \\\\ cos(\alpha)+cos(\beta)=2cos\left(\cfrac{\alpha+\beta}{2}\right)cos\left(\cfrac{\alpha-\beta}{2}\right) \\\\\\ cos(\alpha)-cos(\beta)=-2sin\left(\cfrac{\alpha+\beta}{2}\right)sin\left(\cfrac{\alpha-\beta}{2}\right) \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \cfrac{cos(4\theta )+cos(2\theta )}{cos(4\theta )-cos(2\theta )}\implies \cfrac{2cos\left( \frac{4\theta +2\theta }{2} \right)cos\left( \frac{4\theta -2\theta }{2} \right)}{-2sin\left( \frac{4\theta +2\theta }{2} \right)sin\left( \frac{4\theta -2\theta }{2} \right)} \implies \cfrac{cos\left( \frac{6\theta }{2} \right)cos\left( \frac{2\theta }{2} \right)}{-sin\left( \frac{6\theta }{2} \right)sin\left( \frac{2\theta }{2} \right)}$

$\bf \cfrac{cos(3\theta )cos(\theta )}{-sin(3\theta )sin(\theta )}\implies -\cfrac{cos(3\theta )}{sin(3\theta )}\cdot \cfrac{cos(\theta )}{sin(\theta )}\implies -cot(3\theta )cot(\theta )$

8 0

3 years ago

P(x) is a polynomial with integer coefficients and p(-3) = 0.

natka813 [3]

Answer:

x + 3 is a factor of the polynomial.

Step-by-step explanation:

We have been given that p(x) is a polynomial with integer coefficient.

Also p(-3)=0

Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.

Now, we apply factor theorem.

Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).

Applying this theorem, we can say that (x+3) must be a factor of the polynomial.

Hence, first statement must be true.

5 0

3 years ago

Read 2 more answers

A bakery bakes 728 trays of cookies in a day. How many trays of cookies can the bakery make in 43 days?

musickatia [10]

Answer:

There will be 31,304 trays of cookies in 43 days.

Step-by-step explanation:

728 = 1 day

728 x 43 = 31,304

5 0

3 years ago

the length of a rectangle is 2 times in width if the perimeter of the rectangle is 36 in find its length and width

Basile [38]

Answer:

Length=12 inches Width=6 inches

Step-by-step explanation:

X can stand for the width. 2x can stand for the length since it is twice the width. The perimeter would then equal 6x. 6x is equal to 36. Divide by 6 to isolate x. X equals 6 inches. So twice the width would be 12 inches.

8 0

2 years ago

John wants to predict the frequency of rolling a 4 or 5 using a 6-sided dice with numbers one through six. Which of the followin

weeeeeb [17]

Answer: the answer is 120 or b

Step-by-step explanation: the answer is b

4 0

2 years ago

X5/7•x1/2 show your work​

X5/7•x1/2 show your work