Proving Identities - Trigonometry - Socratic
WEBThe Trigonometric Identities are equations that are true for Right Angled Triangles. Periodicity of trig functions. Sine, cosine, secant, and cosecant have period 2π while tangent and cotangent have period π. Identities for negative angles. Sine, tangent, cotangent, and cosecant are odd functions while cosine and secant are even functions.
What is #tan(45)#, #sin(45)# and #cos(45)#? - Socratic
WEBNov 17, 2017 · tan(45^@)=1 sin(45^@)=sqrt2/2 cos(45^@)=sqrt2/2 45^@ is a special angle, along with 30^@, 60^@, 90^@, 180^@, 270^@, 360^@. tan(45^@)=1 sin(45^@)=sqrt2/2 cos(45 ...
Why does tan equal to sin/cos? - Socratic
WEBJim H. Apr 15, 2015. The best answer to this question depends on the definitions you're using for the trigonometric functions: Unit circle: t correspond to point (x,y) on the circle x2 + y2 = 1. Define: sint = y, , cost = x, , tant = y x. The result is immediate. Point (x,y) on the terminal side of t and r = √x2 + y2.
Fundamental Identities - Trigonometry - Socratic
WEBDivide the fundamental identity # sin^2x + cos^2x = 1# by #sin^2x# or #cos^2x# to derive the other two: #sin^2x/sin^2x + cos^2x/sin^2x = 1/sin^2x#. #1 + cot^2x = csc^2x#. #sin^2x/cos^2x + cos^2x/cos^2x = 1/cos^2x#. #tan^2x + 1 = sec^2x#. Kevin B. · …
Is sine, cosine, tangent functions odd or even? | Socratic
WEBFeb 28, 2015 · y = cos x is always going to be even, because cosine is an even function. For example, cos #pi/4# in the first quadrant is a positive number and cos #-pi/4# (same as cos #pi/4#) in the fourth quadrant is also positive, because cosine is positive in quadrants 1 and 4, so that makes it an even function. (When comparing even and odd function, use ...
Double Angle Identities - Trigonometry - Socratic
WEBAnswer: As below. Explanation: Following table gives the double angle identities which can be used while solving the equations. You can also have sin2θ,cos2θ expressed in terms of tanθ as under. sin2θ = 2tanθ 1 +tan2θ. cos2θ = 1 …
How do you simplify #cos(arctan(x)) - Socratic
WEBJul 26, 2016 · #cos a = 1/sqrt ( 1 + x^2 ), x in ( - pi/2, pi/2 )#. It is important that #cos a >= 0#, for #a in Q_1# or #Q_4#. If the piecewise-wholesome general inverse operator #(tan)^( - 1 ) # is used, #cos (tan)^(-1) x, = +-1/sqrt( 1 + x^2)# the negative sign is chosen, when #x in Q_3#. Example: #cos (arctan 1 ) = 1/sqrt 2, arctan 1 = pi/4.#
Special Limits Involving sin (x), x, and tan (x) - Socratic
WEBFor very small values of x, the functions \sin(x), x, and \tan(x) are all approximately equal. This can be found by using the Squeeze Law.
How do you find the six trigonometric functions of 300 degrees?
WEB1 Answer. Nghi N. May 25, 2015. Use the trig unit circle as proof. sin300 = sin(− 60+ 360) = sin(− 60) = −sin60 = −√3 2. cos300 = cos(− 60 +300) = cos60 = 1 2. tan300 = −√3 2:(1 2) = − √3. cot300 = 1 √3 = −√3 3. sec300 = 1 cos300 = − 2 √3 = −2√3 3.
Basic Trigonometric Functions - Trigonometry - Socratic
WEBThe six basic trigonometric functions are: 1. Sine, #sintheta# 2. Cosine, #costheta# 3. Tangent, #tantheta# 4. Cotangent, #cott