The simplest trigonometric equation 1. The solution set of equation sin2x / cosx = cos2x / SiNx? 2. The solution set of sin ^ 2x + cos2x = 1? Process! XX!

The simplest trigonometric equation 1. The solution set of equation sin2x / cosx = cos2x / SiNx? 2. The solution set of sin ^ 2x + cos2x = 1? Process! XX!

One
2sinxcosx/cosx=(1-2sin^2x)/sinx
2sinx=1/sinx-2sinx
4sinx=1/sinx
sin^2x=1/4
SiNx = 1 / 2 or SiNx = - 1 / 2
The solution set is 2kpi + pi / 6,2kpi + 5pi / 6,2kpi-5pi / 6,2kpi-pi / 6
It can be written as KPI+_ pi/6
PI represents the school+_ For addition and subtraction
Two
sin^2x+1-2sin^2x=1
sin^2x=0
sinx=0
x=kpi

On the simplest trigonometric equation Sin (2x + Pai / 3) = - 1 / 2 to find the value of X

sin(2x+pai/3)=-1/2
Sin (2x + Pai / 3) = sin (2n-1 / 2 ± 1 / 3) Πn is an integer
2X = (2n-1 / 2 ± 1 / 3) Πn is an integer
X = (n-1 / 4 ± 1 / 6) Πn is an integer

Solution set of the simplest trigonometric equation please tell me sina=A cosa=A tga=A What is the solution set of the simplest equation of Define the domain as R

a=arcsinA
a=arccosA
a=arctanA

A trigonometric function equation: 4 sin x sin2x sin 4 x = sin 3 x This topic was asked by my relatives studying abroad. I graduated from high school for many years and studied liberal arts,

a+b=sin(π/5) ab=cos(4π/5) sin(π/5)= sin(π-144) cos(4π/5)=cos144
Sin (π - 144) = sin144 = 4sin36, and then go to solve a and B. note that Tan alpha = sin alpha / cos alpha, so we can solve arctan (a) + arctan (b) faster. I don't care about the owner himself. Come on, believe yourself

Solving trigonometric function equation 2cos2t-2tsin2t+7=0 How to integrate deformation? Is sin2t multiplied by a T before it becomes the formula of composite angle or difference angle?

After the formula of double angle is changed, the deformation can be unified. Yes

Matlab trigonometric function How to write trigonometric functions, such as sin (45 degrees) = 1, how to express this sin (45 degrees) and get the results? I am a novice, please explain the white point

To convert 45 degrees to radians, you can directly 45 * pi / 180, or use deg2rad();
The usage is as follows
Sin (45 * pi / 180) or sin (deg2rad (45));
Similarly, rad2deg () is used for radian rotation angle;

Solving equations with MATLAB Equation 1: L1 + L2 * cos (Th1) = L3 * cos (Th2) - L4 * cos (th3); equation 2: L2 * sin (Th1) + L3 * sin() th2-l4 * sin (th3), where L1, L2, L3, L4, Th1 are regarded as known quantities to calculate Th2 and th3

clc,clear
syms L1 L2 L3 L4 TH1 TH2 TH3
[TH2,TH3]=solve('L1+L2*cos(TH1)-L3*cos(TH2)+L4*cos(TH3)','L2*sin(TH1)+L3*sin(TH2)-L4*sin(TH3)','TH2','TH3');
TH2=simplify(TH2)
TH3=simplify(TH3)

Matlab solution trigonometric function equation, the result appeared Z, hope master solution! ~ ~ little brother no score! ~ ~ get rid of a+b=160; 10/0.22=c/sin(a); 10/.127=c/sin(b); The following equation is used to solve the problem syms a b c; [a,b,c]=solve('a+b=160','10/0.22=c/sin(a/57.3)','10/.127=c/sin(b/57.3)') The results are as follows: A= Z B= 160-1.0*z C= 45.45454545*sin(z) By hand, a is about 43 degrees, Bring in Z and find that the results match? I don't know what Z is! Ask the master to give the answer ~ ~ ~ ~ thank you!

syms a b c;
[a,b,c]=solve('a+b=160','10/0.22=c/sin(a/57.3)','10/.127=c/sin(b/57.3)')
A =
136.64710807831211999084245423510
B =
23.352891921687880009157545764900
C =
31.209891723624257473421100907131
No Z, what version do you use?

For anti trigonometric functions, what is the definition domain of arctan1 / x?

Not equal to 0

What is the inverse function of the function y = x ^ 2 + 1 (- 1 < = x < = 0)

∵ y = x ^ 2 + 1 is defined as: - 1 ≤ x ≤ 0, then y ∈ [1,2];
Y = x ^ 2 + 1
∴x=±√(y-1)
∴x=-√(y-1)
The inverse function of the function y = x ^ 2 + 1 (- 1 ≤ x ≤ 0) is: y = - √ (x-1) (x ∈ [1,2]