I have to find an exact solutions on the interval [0,pi) for both of these problems
1) 2sin2x = sqrtx and
2) 12sqrt2 sinxcosx = 0
I know this much:
1) sin2x = (sqrt x)/2
= 2sinxcosx = (sqrt x)/2
What do I need to do next?
2) 1/(2 sqrt2) = sinxcosx
= (sqrt2)/4 = sinxcosx
= 2(sqrt2)/4 = 2sincosx
= (sqrt2)/2 = sin2x
And what do I do next?
Thanks!
2) 1/(2 sqrt2) = sinxcosx
= (sqrt2)/4 = sinxcosx
= 2(sqrt2)/4 = 2sincosx
= (sqrt2)/2 = sin2x
And what do I do next?
sin2x= .707
2X= 45 principle angle, 135 second
solve for x
I didn't check your math above.
1) sin2x=1/2 * sqrt(x) my mind is running a blank on this one. If I can see the solution, I will repost.
I still don't understand What did you mean by 135 second?
the sin of 45 is the same as 90+45...it is symettrical about the 90 degree point.
 👍
 👎
 👁
 ℹ️
 🚩
Answer this Question
Related Questions

calculus
The function f is continuous on the closed interval [0,2] and has values that are given in the table below x = 0 1  2 ____________ f(x) = 1 k  2 The equation f(x) = 1/2 must have at least two solutions in the interval [0,2] if K = ? The answer is 0,
 asked by Joan
 18,795 views

Math
Create an addition word problem and a subtraction word problem using fractions. Show how to find the solution to each problem. Once you find the solutions to your problems, rewrite the solutions as either a terminating or nonterminating decimal.
 asked by Christian
 1,526 views

Calculus 1
Consider the following. B(x) = 3x^(2/3) β x (a) Find the interval of increase.(Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local maximum value(s).(Enter your answers
 asked by TayB
 5,439 views

Math
Pls help me I need help!!!!For problems 14, solve the given system of equations using either substitution or elimination. 1. 2x + y = 8 y = 2x + 4 A. (4, 0) B. (3, 2) C. (1, 6) D. infinitely many solutions Lesson 2 unit 5 in connects 8th
 asked by Copper
 2,512 views

Calculus
1. Consider the curve y = f(x) = 2^x  1. A. Find the exact area of the region in the first quadrant bounded by the curves y = f(x) = 2^x  1 and y = x. ("Exact area" means no calculator numbers.) B. Find the inverse function y = f^1 (x). C. Using part A
 asked by KingS.
 1,155 views

trigonometry
Given that sin(a) = 2/3 and cos(b) = β1/5, with a and b both in the interval [π/2, π), find the exact values of sin(a + b) and cos(a β b).
 asked by Calie
 1,133 views

Math
1)How many real number solutions does the equation have? 8x^28x2=0 A) One Solution B) Two Solutions C) No solutions D) Infinitely many solutions If someone could help me with this that would be great since I am confused. Thank you!
 asked by Tia
 1,935 views

Precalculus
Find all solutions to 2 sin(theta) = sqrt(2) on the interval 0 less than or equal to theta less than 2 pi Give your answers as exact values, as a list separated by commas.
 asked by anonymous
 1,969 views

Trigonometry
Solve the equation. (Find all solutions of the equation in the interval [0, 2Ο). Enter your answers as a commaseparated list.) 4 tan(2x) β 4 cot(x) = 0
 asked by Thomas
 2,500 views

Calculus
F(x) = x^5 ln x A) Find the interval on which f is increasing Find the interval on which f is decreasing B) Find the local minimum value of f C) find the inflection point (x,y) Find the interval in which f is concave up Find the interval in which f is
 asked by Ray
 2,529 views

calculus
Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answers using interval notation. If the answer cannot be expressed as an interval, enter EMPTY or β .) f(x) = 5x2 + 9x + 8
 asked by sam
 236 views

Math
If sin theta = 5/13 and Oterminates on the interval [0, pi 2] find the exact value of tan 2theta a.12/5 b. 120/119 c. 5/12 d.119/120
 asked by Eli
 778 views

Math
1. Let (7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=2/5. Find the exact values of sec(theta) and tan(theta). 3. Let
 asked by Kandee Johnson
 15,523 views

sat essay
Is it necessary for us to find new solutions to problems? Many people may argue that we donΒ‘Β―t need to since we are already able to solve the problems. As far as I am concerned, we should always try to find new solutions to problems. New solutions enable
 asked by Mercedes
 7,820 views

math101
Solve for x. The solutions in interval notation are of the form (a, b). State a. (Enter an exact number.) abs(3 x + 15) < 30
 asked by janae
 453 views

Trigonometry
Find all solutions of the equation in the interval [0,2pi). sec(theta)+2=0 Write your answer in radians in terms of pi
 asked by Pascal
 5,997 views

math
A student missed 71 problems on a biology test and received a grade of 22%. If all the problems were of equal value, how many problems were on the test? Follow the problemsolving process and round your answer to the nearest integer.
 asked by lay
 1,143 views

Trigonometry
Find all solutions of the equation in the interval [0, 2Ο). (Enter your answers as a commaseparated list.) sin(x + Ο) β sin x + sqrt(3)=0
 asked by Thomas
 776 views

Math
how many solutions does the equation sin(5x)=1/2 have on the interval [0,2pi]?
 asked by Lizzie
 3,863 views

Algebra
1.Mary is selling her craft to earn money she sells her bracelets for $6 and her necklaces for $10 her goal is to make at least $120 in sales which of the following represents three possible solutions to the problem A.6x+10y=120 (5,9),(10,6),and(15,3)are
 asked by GummyBears
 4,039 views
Still need help?
You can ask a new question or browse existing questions.