
How do you find the exact value of cos54? - Socratic
2016年6月24日 · How do you find the exact value of #cos54#? Trigonometry Trigonometric Identities and Equations Half-Angle Identities. 1 Answer
What is the frequency of #f(theta)= sin 24 t - cos 54 t - Socratic
2016年11月11日 · What is the frequency of #f(theta)= sin 24 t - cos 54 t #? Trigonometry Graphing Trigonometric Functions Amplitude, Period and Frequency
How do you multiply \sin ( - \frac { 50\pi } { 3} ) \cdot \cos \frac ...
2018年3月2日 · First, simplify the 2 factors --> #sin ((- 50pi)/3) = sin (- (2pi)/3 - (48pi)/3) = sin ((- 2pi)/3 - 16pi) =# ...
How do you evaluate \frac { \sin ^ { 2} 15^ { \circ } + \sin 75 ...
2018年5月6日 · (sqrt6/4)(sqrt(2 - sqrt3)) f(x) = N/D = (sin^2 15 + sin 75)/(cos^2 36 + cos^2 54) First, evaluate the denominator D. Since, cos (54) = cos (90 - 54) = sin 36 cos^2 54 = sin^2 36 --> Therefor: D = cos^2 36 + sin^2 36 = 1 Next, evaluate the numerator N. Since sin 75 = cos (90 - 75) = cos 15. Therefor,--> N = sin 15(sin 15 + cos 15) = sin 15(sqrt2cos (15 - 45)) N = sin 15(sqrt2cos (-30)) = (sqrt2 ...
What is the frequency of #f(t)= sin 12 t - cos 54 t - Socratic
2017年1月10日 · Find the overall period by finding least common multiple of the two periods. The overall frequency is the reciprocal of the overall period. Let tau_1 = the period of the sine function = (2pi)/12 Let tau_2 = the period of the cosine function = (2pi)/54 tau_("overall") = LCM((2pi)/12, (2pi)/54) = (pi)/3 f_("overall") =1/tau_("overall")= 3/pi
Amplitude, Period and Frequency - Trigonometry - Socratic
Frequency and period are related inversely. A period #P# is related to the frequency #f# # P = 1/f#. Something that repeats once per second has a period of 1 s.
Solving Trigonometric Equations - Trigonometry - Socratic
Solution. Use trig identity to transform (cos x + cos 3x): F(x) = 2cos 2x.cos x + cos 2x = cos 2x(2cos x + 1 ) = 0. Next, solve the 2 basic trig equations. 2. Transform a trig equation F(x) that has many trig functions as variable, into a equation that has only one variable. The common variables to be chosen are: cos x, sin x, tan x, and tan (x/2)
Double Angle Identities - Trigonometry - Socratic
How do you express cos(4θ) in terms of cos(2θ) using the double angle identity? If Cosx = 5/13 and x is reflex, how do you find the exact value of cos2x? How do you find the exact value of cos2x, given that cotx = -5/3 with pi/2<x<pi?
Proving Identities - Trigonometry - Socratic
The best videos and questions to learn about Proving Identities. Get smarter on Socratic.
How do you find the exact values of cos 15 using the half
2015年8月30日 · color(red)(cos15 = sqrt(2 +sqrt3)/2) > The cosine half-angle formula is cos(x/2) = ±sqrt((1 + cos x) / 2) The sign is positive if x/2 is in the first or fourth quadrant and negative if x/2 is in the second or third quadrant. 15° is in the first quadrant, so the sign is positive. 15= 30/2 ∴ cos15 = cos(30/2) = sqrt((1+cos30)/2) cos15 = sqrt((1 + sqrt3/2)/2) = sqrt((2 + sqrt3)/4) cos15 ...