1 In AABC, AB = xcm, BC=(4- x)cm, ZBAC=y and ZBCA = 30°. Given that siny show that =D4(v2-1) (5 marks) x

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

Q: Find the Grodient (Cylindrical ) V=(2pz?sin"p)op +(pz-sin24)ap + (2p2 sin? o) az

A: Given: V=2ρz2sinϕaρ+ρz2sin2ϕaϕ+2ρ2zsin2ϕaz To find: Gradient of given function.

Q: nsider the initial value Problem: x + 2x +10x=2cos (9+) x(0) =0, x¹ (0)=0 which is the simplest…

A: Given initial value problem is: x''+2x'+10x=2cos9t   . . . (1) x0=0, x'0=0. To Do: Determine the…

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A: Given:The equation of lemniscate is: r2=4sin2u. To find: The area inside one loop.

Q: 3 a) Cosa = (Cosa + Sina)* iga =? b) Tgx- =0 (0SxS 2x) find Cosx x =?

A: Part aGiven,         cosα=35

Q: (a/sinA=b/sinB=c/sinC) prove the law of sines, by any means necessary.

A:

Q: Express as a single sine function: 10 cos (100t - 9°) + 10 sin (100t + 19°)

A: Given the given function is 10 cos100t - 9° + 10 sin100t + 19° Apply formula cosa-b=cosa cosb + sina…

Q: */10 S sin(10z) arctan(sin 5x)dr = ? a)10(7 – 2) - 2 b)- 5 ) 5 (т — 2) T - 2 d)- 10 Ол - 10

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Q: 1 Let cos A = with A in QIV and find V10 sin(2A) = Preview

A: Please see the answer below

Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: 3. Compute : exp(sin m(e÷)).

A:

Q: 2 is a triangle in which Tan A = 3 and Sin B = V5 ut using Calculator find Cos (A+B)

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Q: The S- 3 dx is 5 sin 6x

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Q: 3) Find the minimum and maximum values y = 2x5 +5x² on the interval [-2,2]

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Q: 46 a Show that cos x+ =-sinx. = -sinx. d" (cosx) = cosx + drn b Prove that

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Q: Find the eduction fermelas for fids idegral uith Sa"z co'e do cosa de connect the ietegral with And…

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Q: Show that cos (90 degree - A) = sin A.

A: The given identity is cos90∘ -A=sinA.

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A: We will find the concept of slope to get value of cot thetha

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Q: Is this an FM or a PM signal? Explain.

A:

Q: Using Euler's formula ete = cose + i sine %3D Show that el0 +e-10 et0-e-10 cose = sino zi

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Q: TC Compute : exp (sin (e).

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Q: Verify that sin u − u cos u + C =∫u sin u du. Use FIRST part to show that      ∫π0 sin√x dx = 2π.

A: Our aim is to verify that ∫u sinu du=sin u-cos u+C. Using this integral to find the value of…