Quèstion 10 cosh (T- i) = e" cosl - i e" sin 1 + e- cos 1 + ie- sin 1 e cosl - i e sin 1 + eT cos 1 + i e" sin 1 - TT eT cosl + i eT sin 1 - e-" cos 1 + i e- sin 1 - It 2 e cosl - i e™ sin 1 + e- cos 1 - i e-T sin 1 - TT - It

Q: 10. Show that 2" + 42' + 8z = 0 if z = e-2=(sin 2x + cos 2x).

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Q: -p² sin(w) cos?(w) – p cos² (») -p2 sin(4).

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Q: Question 6 Find the solution. (4D3+12D2+13D+10)y = 0. /½(c,cosx+c_sinx) + cge -2x y = c ,xe-2* + e A…

A: given differential equation is  9D3+12D2+13D+10y=0            (i) Solution of the Homogeneous…

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: Eliminate 0 from the equations : (i) x = h + a cos 0, y = k + b sin 0 (ii) x = a ser³ 0, y = b cot³…

A: Solution is given: Hope the solution is helpful.

Q: 5π (b) sec 6 (c) (sin 570⁰ + cos180°)-¹ (d) sec 7π 6 - 1 CSC 4π 3 + COS 5π 6

A: b)sec-5π6-csc4π3sec(-θ)=secθ since you have posted multipart question, i can do first question as…

Q: (b) Show that: cos(x cos 0) = Jo - 2J₂ cos 20 +2J4 cos 40 +

A: Solution (b):

Q: -1 x + cos -1 Prove the identity sin' value of x that satisfies the equation 2. Use this identity to…

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Q: sin- a. b. undefined cos(-210) C. Cus270 tan450 d.

A: sin17π6=cosπ2-17π6=cos-7π3=cos7π3=cosπ3=12        cos-210∘ =cos210∘ =-32

Q: V3 Tan" (-V3) Cos"(-1) 3. Sin 2 1. 2.

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Q: Find when u = v = 0 if w = lny1 + x2 – tan-1x and ди

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Q: 30 E(- 1)k k= 0

A: A series of the form is an alternating series. This series is called alternating series because the…

Q: Find the equation for a sine function with: 32 • Amplitude = 3 • Period = • Phase shift = (-) n •…

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Q: und tre e given t Coslutl

A: To find the exact value of cos(u+v)=cos u cos v -sin u sin v and we are given that  sin u =-35 ; cos…

Q: how to find cos z using, cos^2x +cos^2 y+ cos^2 z=1     where x = 45deg  and y = 60deg

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Q: If, Sec t-1/sec t +1 = A-cos t/A+cos t Then A =

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Q: sinxcos ydx + cos²xdy=0

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.