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Apr 16, 2015 · Apr 16, 2015. cos x. With π 2 add to any angle measure, sin changes to cos and vice- versa. Hence It would change to cosine and since the angle measure falls in the second quadrant, hence sin (x+ π 2) would be positive. Alternatively sin (x+ π 2)= sin x cos π 2 + cos x sin π 2. Since cos π 2 is 0 and sin π 2 is 1, it would be equal to cosx.
Mar 15, 2016 · Konstantinos Michailidis. Mar 15, 2016. It is. sin((π 2) + h) − sin(π 2) h = (sin(π 2)cosh +cos(π 2) ⋅ sinh) − sin(π 2) h = cosh − 1 h. Note that. 1. sin(a +b) = sina ⋅ cosb +cosa ⋅ sinb. 2. sin(π 2) = 1 , cos(π 2) = 0. Answer link.
Answer: 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 −tan2θ 1 +tan2θ. sankarankalyanam · 1 · Mar 9 2018.
Aug 15, 2016 · When #theta# becomes equal to #pi/2# then adjacent will vanish and opposite will coincide with the hypotenuse. This means when #theta=pi/2" then # "opposite"="hypotenuse"# So then
May 19, 2015 · The range of arcsin is -pi/2 <= theta <= pi/2. 2 > pi/2 so it lies outside the range. Use sin (pi-theta) = sin theta Then sin2 = sin (pi-2). pi-2 ~= 1.14 so 0 < pi-2 < pi/2 So arcsin(sin(2)) = pi-2
May 4, 2018 · Explanation: using the trigonometric identity. ∙ xsin(− x) = − sin(x) ⇒ sin(− π 2) = − sin(π 2) = − 1. Answer link.
Aug 16, 2016 · Explanation: The answer given prior is a perfectly valid explanation, but here is another: We must consider our knowledge of transformations: f (x −α) is a translation of f (x) by (α,0) So hence: sin(x − π 2) is just sinx translated by (π 2,0) We see that sinx: graph {sinx [-4.006, 4.006, -2.003, 2.003]} ∴ sin(x − π 2): graph {sin ...
Apr 23, 2015 · a complex numbers can be written in trigonometrics form. z = (cos(x) + isin(x)) → (1) multiplying z by i you have. iz = −sin(x) +icos(x) because i2 = i ⋅ i = − 1. just for you to know, multiplying a complex numbers by i is the same to do a 90° rotation on the complex plane. another way to do a 90° rotation is to derivate z. z' = − ...
Jul 13, 2016 · Now we need to put them together: sin2(π/2) − cos(π) = 1 −(−1) = 2. Answer link. sin^2 (pi//2)-cos (pi) = 1 - (-1) = 2 To solve this, we need to know the values of the sin and cos functions at specific angles. One of the simplest ways to look at this is using the unit circle. If we plot a point on the circle that makes the angle theta ...
May 1, 2016 · that is : cos(π 2 − θ) = sinθ and sin(π 2 −θ) = cosθ. Basically sin (angle) = cos (complement) and cos (angle) = sin (complement) example: sin60∘ = cos30∘etc. However, we can show the above question using the appropriate Addition formula. ∣∣ ∣ ∣ ...
