How do you use the reference angles to find - Socratic
2015年2月3日 · How do you use the reference angles to find #sin210cos330-tan 135#?
How do I find the value of sin 330? - Socratic
2015年9月9日 · First, we know that #sin 330# will be in the 4th quadrant, as it lies between #270# and #360# degrees.. Second, we know that when we add or subtract degrees from x in #sin x, cos x#, and #tan x# from 360 and 180, the trigonometric ratios stay the same, however, if we add/subtract degrees from x from #90# or #270# degrees, we turn the ratio to it's opposite: sin becomes cos, cos becomes sin ...
How do you find the related acute angle? + Example - Socratic
2015年11月26日 · The related acute is an acute angle (<90^@) that can be found between the terminal arm and the x-axis when the terminal arm is in quadrants 2, 3, or 4. There is no related acute angle if the terminal arm lies in quadrant 1. Here are some examples: If the terminal arm is in quadrant 2, do 180^@ minus the principle angle to find the related acute angle. If the terminal arm is in quadrant 3, do ...
How do you find the exact values of sin 15 degrees using the
2015年7月21日 · Find exact value of #sin(15^@)# with half-angle formula. Consider the half-angle formula for sine: #sin(theta/2)=sqrt((1-cosx)/2)# Since we know that 15 is half of 30, we can plug #30^@# in as #theta# and simplify:
How do you find the taylor series of f(x)=sinx at a=pi/6 ... - Socratic
2016年3月30日 · Solution Strategy: Use the definition of Taylor series for a function, #f(x)# given by: #f(x)=f(a) + f^'(a)(x-a)/1! +f^('')(a)(x-a)^2/2! +f^(3)(a)(x-a)^(3)/(3!
How do you differentiate #f(x)=xsin(1/x)#? - Socratic
Differentiating #f (x)# is determined by applying the product rule, Chain rule ,and quotient rule. #" "# Product rule:
How do I find the value of sin 300? - Socratic
2015年9月11日 · It is -sqrt3/2 We have that sin300=sin(360-60)=sin360*cos60-cos360*sin60=0-sin60=-sqrt3/2
How do you use DeMoivre's Theorem to simplify - Socratic
2016年11月19日 · The answer is =125/2(1+isqrt3) DeMoivre 'theorem is (costheta+isintheta)^n= cosntheta+isinntheta Therefore, (5(cos20+isin20))^3 =5^3(cos3*20+isin3*20) =125 (cos60 ...
Determine two other angles that have the same trigonometric …
2015年4月18日 · a) 133 , b) 304 Sin and cos are periodic functions. The period is 2pi (360 degrees). During the interval 0 to 2pi they repeat the same value twice. Also remember, sin has positive values in the 1st and 2nd quadrant whereas cos has positive values in the 1st and the fourth quadrant. Besides, if pi is added to any angle measure or an angle measure is subtracted from pi, the sin ratio remains sin ...
Find the limit as x approaches infinity of #xsin(1/x)#? - Socratic
2014年9月12日 · Instead of l'Hopital's Rule, one can use the fundamental trigonometric limit: #lim_(hrarr0)sin h/h=1#. The limit you are interested in can be written: #lim_(xrarroo)sin (1/x)/(1/x)#. Now, as #xrarroo#, we know that #1/xrarr0# and we can think of the limit as. #lim_(1/xrarr0)sin (1/x)/(1/x)#. With #h=1/x#, this becomes #lim_(hrarr0)sin h/h ...