There is no figure given!!!!
However,
In a triangle the three angles are A B & 90 degrees.
The sides opposite to A,B, & 90 are 'a' , 'b' & 'h' respectively.
Hence Sin A = a/h
SinB = b/h
CosA = a/h ( Check ; 'a/h')
Csc B ( CosecantB) = 1/ (a/h) = h/a
CotB = CosB / SinB = (a/h) / (b/h) = a/b
2sin(x), or 5.4cos(y), tan(z)
sin4x=(4sinxcosx)(1-2sin^2x)
2 pi
Thanks to the pre-existing addition and subtraction theorums, we can establish the identity:sin(a+b) = sin(a)cos(b)+sin(a)cos(b)Then, solving this, we getsin(a+b) = 2(sin(a)cos(b))sin(a)cos(b) = sin(a+b)/2a=b, sosin(a)cos(a) = sin(a+a)/2sin(a)cos(a) = sin(2a)/2Therefore, the answer is sin(2a)/2.
(/) = theta sin 2(/) = 2sin(/)cos(/)
The answer will range between '2' & '-2' Reason; The Sine function ranges between '1' & '-1' , so if it has a coefficient of '2', this will increase the range to '2' & '-2'.
It is 2*sin(theta)*sin(theta) because that is how multiplication is defined!
R^2sin(theta)d(theta)d(phi)(r-hat)
The derivative of (sin (theta))^.5 is (cos(theta))/(2sin(theta))
3
y = 2sin(x)cos(x)Use the product rule: uv' + vu' where u is 2sin(x) and v is cos(x) to find first derivative:y' = 2sin(x)(-sin(x)) + cos(x)2cos(x)Simplify:y' = 2cos2(x)-2sin2(x)y' = 2(cos2(x)-sin2(x))Use trig identity cos(2x) = cos2(x)-sin2(x):y' = 2cos(2x)Take second derivative using chain rule:y'' = 2(-sin(2x)cos(2x))Simplify:y'' = -2sin(2x)(2)Simplify:y'' = -4sin(2x)y'' = -4sin(2x)
3