
How do you find the exact value of cos54? - Socratic
Jun 24, 2016 · 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
Nov 11, 2016 · 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 ...
Mar 2, 2018 · 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 ...
May 6, 2018 · (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
Jan 10, 2017 · 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
Aug 30, 2015 · 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 ...