Question

Determine the solutions to the equation 2sinx - cos^2 x = sin^2
x for 0**≤x≤2pi**.

Answer #1

solve the following: A) cos x = -(1/2) on [0, 2pi] B) sin x =
(-sqrt 3)/2 on [0, 2pi].

1, Solve cos(x)=0.17cos(x)=0.17 on 0≤x<2π0≤x<2π
There are two solutions, A and B, with A < B
2, Find the EXACT value of cos(A−B)cos(A-B) if sin A = 3434, cos
A = √7474, sin B = √91109110, and cos B = 310310.
cos(A−B)cos(A-B) =
3,
Find all solutions of the equation 2cosx−1=02cosx-1=0 on
0≤x<2π0≤x<2π
The answers are A and B, where A<BA<B
A=? B=?

1) find the
absolute extrema of function f(x) = 2 sin x + cos 2x on the
interval [0, 2pi]
2)
is f(x) = tanx
concave up or concave down at x = phi / 6

1.Find all solutions on the interval [0, 2π)
csc (2x)-9=0
2. Rewrite in terms of sin(x) and cos(x)
Sin (x +11pi/6)

1) In the interval [0,2π) find all the solutions possible (in
radians ) :
a) sin(x)= √3/2
b) √3 cot(x)= -1
c) cos ^2 (x) =-cos(x)
2)The following exercises show a method of solving an equation
of the form: sin( AxB C + ) = , for 0 ≤ x < 2π . Find ALL
solutions .
d) sin(3x) = - 1/2
e) sin(x + π/4) = - √2 /2
f) sin(x/2 - π/3) = 1/2

1. The movement of a ball is modelled by the function y=
3sin(pi/2 x ) +7. What is the average rate of change of the
interval 4 is less than or equal to x less than or equal to 6.
2. Solve the equation sin^2x +1= -2sinx for 0 is less than or
equal to x less than or equal to 2 pi.
3. Solve the equation sin^2x + 2sinx-3=0 where 0 is less than or
equal to x less...

Differential equations
Given that x1(t) = cos t is a solution of (sin t)x′′ − 2(cos
t)x′ − (sin t)x = 0, find a second linearly independent solution of
this equation.

Find sin(x/2), cos(x/2), and tan(x/2) from the given
information.
Sin(x) = 24/25, 0° < x < 90°

1.Solve sin(x)=−0.61sin(x)=-0.61 on 0≤x<2π0≤x<2πThere are
two solutions, A and B, with A < B
2.Solve 5cos(5x)=25cos(5x)=2 for the smallest three positive
solutions.Give your answers accurate to at least two decimal
places, as a list separated by commas
3.Solve 5sin(π4x)=35sin(π4x)=3 for the four smallest positive
solutions
4.Solve for tt, 0≤t<2π0≤t<2π
21sin(t)cos(t)=9sin(t)21sin(t)cos(t)=9sin(t)
5.Solve for the exact solutions in the interval [0,2π)[0,2π). If
the equation has no solutions, respond with DNE.
2sec2(x)=3−tan(x)
6.Give the smallest two solutions of sin(7θθ) = -0.6942 on [...

Solve the given equation
2 cos^2 theta+sin theta =1
cos theta cos 20 + sin theta sin 20= 1/2

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