Matlab

clc
%1

format long

m= - 14/5; n = tan(pi/8);
3*m^2 + (2*n^2)^(1/3)/m

m = 2.2 * 10^-2; n= 1/3.1;
3*m^2 + (2*n^2)^(1/3)/m

%2

format short
l= 1.7 * 10^3; a = 18*pi/180;
4/3*l^3* (sin(a/2))^2*(cos(a))^(1/2)

l= 16/21; a = pi/5;%?
4/3*l^3* sin(a/2)^2 *cos(a) ^(1/2)


%3
format shorte
a = 1.5;b=0.8; al = 61*pi/180;
((a*b^(1/2))/((tan(al))^(1/3)))^(1/2)

a = 3 * 10 ^ -2 ; b = 0.71; al = 3/7*pi;
((a*b^(1/2))/((tan(al))^(1/3)))^(1/2)

%4
format short

a = 4.13 * 10^-1;
b = 1/261;
(3*a^2 * (6.8*(a-b))^(1/2))/(4* (a+b)^3)

a = sin(5*pi/8);
b = - tan(12*pi/180);
(3*a^2 * (6.8*(a-b))^(1/2))/(4* (a+b)^3)

%5
format long
c = log10(2.38);%?
a = pi/5;
(c^3)/6*cos(a/2)*(sin(a))^(1/2)

c=exp(-0.3); a = 65*pi/180;
c^3/6*cos(a/2)*(sin(a))^(1/2)

%6
format short
n = 3.1516 * 10^(-2); a = 5*pi/180;
(n^3 / (16.3*sin(a)*sin(2*a)))^(1/2)

n = exp(3.5); a = 2*pi/13;
(n^3 / (16.3*sin(a)*sin(2*a)))^(1/2)

%7

S = log(3); a = 44*pi/180;
5*sin(35)*(S^3*cos(36)/(pi^3*tan(a)))^(1/2)

S = 18/25; a = 7/12 * pi;
5*sin(35)*(S^3*cos(36)/(pi^3*tan(a)))^(1/2)


%8
a = 3*pi/7; b=83*pi/180;
abs(log10(1+sin(a)) + log(1-sin(b)))

a = 2/3*pi; b = 16*pi/180;
abs(log10(1+sin(a)) + log(1-sin(b)))


%9
a = 5/7*pi;
b= 0.3*pi;
(sin(a + b)^2 - sin(a-b)^2 )^(1/3)

a = 12*pi/180;
b= 220*pi/180;
(sin(a + b)^2 - sin(a-b)^2 )^(1/3)

%10
a = 3.56;
b = exp(0.316);
(log(b+1.4)/log(a))^(-3/4)

a = 2;
b = 2.1649 * 10^(-2);
(log(b+1.4)/log(a))^(-3/4)

%11
p = log(3);
q = log10(3);
3*(p^(-2/3)+ q^(-1/2))* (p*q)^(1/3)

p = 0.013;
q = 1.4 * 10^2;
3*(p^(-2/3)+ q^(-1/2))* (p*q)^(1/3)


%12
m = 3.6485 * 10^2;
2/3 * m * sqrt((m*(m*(m)^(1/4))^(1/3)))

m = 24/37;
2/3 * m * sqrt((m*(m*(m)^(1/4))^(1/3)))


%13
s = exp(1.11); a = 7/11*pi;
8/3 * s * sqrt(s/pi)* sin(a/2)^6

s = 5.403; a = 28* pi /180;
8/3 * s * sqrt(s/pi)* sin(a/2)^6

%14
f = 1/0.03; a = 5/7*pi;
2 * sqrt(f/pi)* tan(a)*sin(a/2)^2

f = log(7); a = 1/34*pi/180;
2 * sqrt(f/pi)* tan(a)*sin(a/2)^2

%15
m = -20.1;
a = 20*pi/180;
1/12 * m^3 * cos(a)/(sin(a)+cos(a))^3

m=log10(13.6); a = 1.48;
1/12 * m^3 * cos(a) /(sin(a)+cos(a))^3

%16
h = 0.28; a = 41*pi/180;
sqrt(3*h^3)/cos(a)^2 * sin(a+30*pi/180)*sin(a-30*pi/180)

h = exp(0.415); a = 237*pi/180;
sqrt(3*h^3)/cos(a)^2 * sin(a+30*pi/180)*sin(a-30*pi/180)

%17
d = 6.178; a = 20*pi/180;
a/3*(log10(d+2)-tan(a))^2

d = -2.2461* 10 ^ (-2); a = 1.146;
a/3*(log10(d+2)-tan(a))^2

%18
d = 10.6; a = 50*pi/180;
d^3*cot(a)*sqrt(sin(a)^4 - cos(a)^4)

d = exp(2.3); a = 1;
d^3*cot(a)*sqrt(sin(a)^4 - cos(a)^4)

%19
a = 5.08; al = 25*pi/180;
a^2*sqrt(3)/4 * (sec(al)+csc(al))^4

a = log(1.37); al = 12/25*pi;
a^2*sqrt(3)/4 * (sec(al)+csc(al))^4

%20
format shorte
a = 51*pi/180;
b = 39*pi/180;
sqrt(pi)/3 * 1/(cot(a)+cot(b))^2

a = 0.643;
b = pi/7;
sqrt(pi)/3 * 1/(cot(a)+cot(b))^2

%21
x = exp(1.648);
log10(3^(x^2 - x - 9) + 8/27)

x = tan(1.21);
log10(3^(x^2 - x - 9) + 8/27)

%22
a = 2.1754 * 100; %
((5*exp(4*a)*((a+12.36)^2))^(1/5))/(log(a+7))

a = cos(17*pi/180);
((5*exp(4*a)*((a+12.36)^2))^(1/5))/(log(a+7))

%23

x = exp(2.145);
log10(x)^2-(27/8)^(x-1)*sin(sqrt(x))


x = 2.468*10^(-1);
log10(x)^2-(27/8)^(x-1)*sin(sqrt(x))

%24

x = exp(-0.37);
y = log(2.1517);
((x-y)^2 * (1/y - x)^(1/3))^(1/5)

x = 37*pi/180;
y= cos(7/24*pi);
((x-y)^2 * (1/y - x)^(1/3))^(1/5)


%25
a = 5.6; b= log10(25);
(sin(a)+tan(b))/((a-3*b)^2)^(1/5)

a = 8/9*pi; b= pi/10;
(sin(a)+tan(b))/((a-3*b)^2)^(1/5)