Sin Of 1
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How do you simplify #sin(tan^-1(x))#? - Socratic
Oct 17, 2015 · First, let's call #sin(tan^-1(x))=sin(theta)# where the angle #theta=tan^-1(x)#. More specifically, #tan^-1(x)=theta# is the angle when #tan(theta)=x# . We know this from the definition of inverse functions.
Socratic.orgHow do you find the exact value of #sin^-1(-1)#? - Socratic
Sep 10, 2016 · The range of arcsin is defined as between − π 2 radians and π 2 radians. arcsin (x) is the one angle within this range whose sine is x. The one angle between − π 2 and π 2 with a sin(x) = − 1 is x = − π 2. On the unit circle, a sin of -1 falls on …
Socratic.orgWhat is the limit of sin (1/x) as x approaches 0? - Socratic
Jun 22, 2017 · The limit does not exist. To understand why we can't find this limit, consider the following: We can make a new variable h so that h = 1/x. As x -> 0, h -> oo, since 1/0 is undefined. So, we can say that: lim_(x->0)sin(1/x) = lim_(h->oo)sin(h) As h gets bigger, sin(h) keeps fluctuating between -1 and 1. It never tends towards anything, or stops fluctuating at any point. …
Socratic.orgHow do you simplify #tan(sin^-1(x))#? - Socratic
May 27, 2016 · 1 Answer. Let sin−1x = θ hence x = sinθ. For 0
How do you evaluate #sin^-1(1)#? - Socratic
Mar 25, 2018 · 90^0 sin^(-1)1=90^0 -1<=sinx<=1 and the maximum value is at 90^0 graph{sinx [-6.244, 6.243, -3.12, 3.123]}
Socratic.orgWhat is sin^−1(-√3 / 2)? - Socratic
Feb 25, 2018 · sin^-1(sqrt3/2) = 240° or 300° A right-angled triangle with angles of 60°and 30° has sides in the ratio 1 : sqrt3 : 2 The core angle of sqrt3/2 is 60° However, the negative sign indicates that we are working with an angle in the 3rd or 4 th quadrants. In the 3rd quadrant: theta = 180° + 60° = 240° In the 4 th quadrant: theta = 360°-60° =300° sin^-1(sqrt3/2) = 240° or 300° Check
Socratic.orgHow do you find the exact value of sin^-1 0? - Socratic
Sep 8, 2016 · sin^-1(0)=npi where n is an integer. Let's start with the unit circle: The sine ratio is the opposite divided by the hypotenuse: sin="opp"/"hyp" sin^-1 asks us what the angle is that produces a ratio of a certain value. In this case, that ratio equals 0. For the ratio to be 0, the opposite side must equal 0 (if the hypotenuse were 0, the fraction would be undefined). What …
Socratic.orgHow do you simplify #cos(sin^-1 x)#? - Socratic
Oct 21, 2016 · ±sqrt (1-x^2) cos(sin^-1 x) Let, sin^-1x = theta =>sin theta = x =>sin^2theta =x^2 =>1-cos^2theta = x^2 =>cos^2theta = 1-x^2 =>cos theta =± sqrt (1-x^2) =>theta
Socratic.orgOn what interval is the identity sin^-1(sin(x))=x valid? - Socratic
Oct 8, 2016 · This means that sin^(-1)sin(100pi)=100pi, For problems in applications tn which x = a function of time, the principal-value-convention has to be relaxed. Having noted that there were 2.8 K viewers, I add more, to introduce my piecewise-wholesome inverse operators for future computers, for giving the answer as x for any x in ( -oo, oo ).
Socratic.orgHow do you simplify #sin^-1 (sin ((2pi)/3))#? - Socratic
May 24, 2018 · Terms. Help. The inverse sine is multivalued, so we need to include {2pi}/3, its supplement which shares a sine, and all coterminal angles: arcsin sin ( {2pi}/3) = {2pi}/3 + 2pi k or pi/3 + 2pi k quad integer k The principal value is pi/3.
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