1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fynjy0 [20]
2 years ago
8

Pls help trig question!!

Mathematics
1 answer:
s2008m [1.1K]2 years ago
5 0

4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x  -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R}  ~\text{Since}~ -1\leq \sin x \leq 1\\

\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~  [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x =  2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68

You might be interested in
PLS HELP.<br> YOU WILL GET A GOOD DEED :)
qaws [65]

Answer:

a, 17.5

b, 16.2

do it with reciprocal

3 0
2 years ago
Which of the following are the coordinates of a rectangle with a length of 8 units and width of 5
Snowcat [4.5K]

Answer:

Ans =C(4,1),(-4,1),(4,6),(-4,6)

8 0
2 years ago
Evaluate the function
NikAS [45]

Answer:

f = 9.25 (I think but maybe I read f(4) wrong)

Step-by-step explanation:

so f(4) means x = 4.

The new equation is

f(4) = 2x4 ^2 - 4 + 9
you first do 2x4^2. The minus 4. The add 9.
the answer to that is 4f = 37

Then solve

F = 9.25

5 0
2 years ago
Could someone help me pleaseee
Savatey [412]

Answer:

a) We are given the length of both legs. We need to find the hypotenuse.

b) 40^2 + 71.5^2 = X^2

c) 40^2 + 71.5^2 =

   1600 + 5,112.25 = 6,712.25 in.

d) 6,712 inches

Step-by-step explanation:

8 0
2 years ago
Help pls I have a test due tomorrow :(
Mademuasel [1]
Good luck on your test love ya also I have bad period cramps send chocolate please
5 0
3 years ago
Other questions:
  • Given that g(x)=x2 - 2x - 7. find (g 0 g)(-3)<br>(g 0 g)(-3) =<br>(Simplify your answer.)​
    8·1 answer
  • Carl’s new car get 27 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?
    6·2 answers
  • How do I solve 15+5-5/12. please give me the steps
    5·1 answer
  • 4 + x 5<br> ------- = --<br> 3 2
    11·1 answer
  • Guys please last one please help?​
    15·1 answer
  • What is the completely factored form of 100^2-16
    14·1 answer
  • Find with proof the minimum possible k such that every subset of f1; 2; : : : ; 2022g of size k must contain at least two elemen
    5·1 answer
  • The value of X and the relationship between the angles
    12·2 answers
  • 2. f(x) = (x -2)^2 +4
    12·1 answer
  • PLZ HELP!!! I’ll give brainly !!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!