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Use trigonometric identities to write each expression in terms of a single trigonometric function or a constant. simplify cos t sin t?
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.
Is 35 degrees cos or sin?
Every angle has a sine and a cosine. The sine of 35 degrees is 0.57358 (rounded) The cosine of 35 degrees is 0.81915 (rounded)
Why is Cosine used?
Because it is not always convenient to convert to convert sin to cos when working with adjacent sides.
How do you graph cosine functions?
it is the same as a sin function only shifted to the left pi/2 units
What is sin x times sin x?
We write sin x * sin x = sin2 x
How do you write cosine in terms of sine?
cos(x) = sin(pi/2-x) = -sin(x-pi/2)
Write the expression in terms of sine and cosine and simplify so that no quotients appear in the final expression. cscx(sinx plus cosx)?
csc(x)*{sin(x) + cos(x)} = csc(x)*sin(x) + csc(x)*cos(x) =1/sin*(x)*sin(x) + 1/sin(x)*cos(x) = 1 + cot(x)
How do you write ratios for sin and cosine?
sin = opp/hyp cos = adj/hyp tan = opp/adj
Can e be expressed in terms of sine and cosine?
the only close answer i know is: eix = cos(x)+i*sin(x) where i is imaginary unit
Write COS in terms of SIN?
cos = sqrt(1 - sin^2)
Does cosine equal 1-sin?
No, it does not.
Cosine 35 degrees sine 55 degrees plus sine 35 degrees cosine 55 degreees?
cos(35)sin(55)+sin(35)cos(55) If we rewrite this switching the first and second terms we get: sin(35)cos(55)+cos(35)sin(55) which is a more common form of the sin sum and difference formulas. Thus this is equal to sin(90) and sin(90)=1
How do you differentiate a cosine function That is what is the derivative of the cosine of x with respect to the independent variable x?
f(x) = Cos(x) f'(x) = -Sin(x) Conversely f(x) = Sin(x) f'(x) = Cos(x) NB Note the change of signs.
Sin and cosine values of 0?
sin 0 = 0 cos 0 = 1
Trigonometry Identity Help Express cosecant in terms of cosine?
csc(x) = 1/sin(x) = +/- 1/sqrt(1-cos^2(x))
What is the Derivative of sin?
Generally, the derivative of sine is cosine.
What is Sin cosine and tangent?
Sin, cosine, and tangent are considered the three main of trigonometry, commonly written as sin, cos, and tan. sin(θ) = O/H cos(θ) = A/H tan(θ) = O/A Where O is opposite Where H is Hypotenuse Where A is Adjacent To assist further in understanding: http://www.mathsisfun.com/sine-cosine-tangent.html
