e cosl – i e™ sin 1 + e¯ cos 1 - i e- sin 1 2 e cosl + i e™ sin 1 – e- cos 1 + i e¯I sin 1 -TT 2 e cosl – i e sin 1 + e™ cos 1 + i e¯I sin 1 e cosl – i e™ sin 1 + e-" cos 1 + i e- sin 1 2

Q: sum & difference identities, condense each of t 1. cos25 cos15° – sin25°sin 15° 3. sin140°cos50° -…

A: Solution :-

Q: Find S dß 5-3 cos B

A: SOLUTION-

Q: Solve the equation for the values of theta between [0,2pi) 2 cos^2 θ - cos θ - 1 = 0

A: Given Data: Equation:  2 cos2 θ - cos θ - 1 = 0 Interval: [0, 2π) Factorise the given equation.…

Q: sin 3t dt J cos 3t – 1

A: Given: I=∫sin3tcos3t-1dt   ....(1)   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where…

Q: 2) sin- 0 4) cos 6) cos-1 | V3 8) tan 3 -1 -1 10) cos

A:

Q: C. If sin A+ sin2 A = 1 and a cos12A +b cos® A+ c cos A - 1 = 0 then b + - + b =? %3D %3D

A: Topic = Trigonometry

Q: 8. If sinx = , x is in quadrant II, then the value of cos2x is %3D 17 b) -161 30 161 353 a) 289 c)…

A: Given : sin x = 817 x is in quadrant II.     To find the value of cos 2x.

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: Simplified form of * cos² 0 + cos²(90° – 0) + cos 0 2 1+ cos 0, cos 2 2 Option 1 Option 2 cos? 0 +…

A:

Q: 3. V2 C T. V2 V2 3 10. sin B =[Select ] 11. cos B = [ Select ] 12. tan B = Select] - -13

A: Trigonometric ratios

Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

A:

Q: Differentiate Sin (m sin-1 x)

A:

Q: 1.secB-cosB = tanB sin B 2.cotAcosA + sin A= cscA

A:

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: 1- cosx dx A -2/2cos- +C B 2/2cos- +c -2/2 sin-+C 2 D 2/2 sin- +C

A:

Q: sin 20 + 2 cos 2 0 Verify the identity tan 0 + 2 cot 0 = sin 0 cos 0

A: Solve the given identity

Q: (cos A + sin A)/(cos A - sin A) = (1+ sin(2A))/ cos(2A)

A:

Q: What is the second step to verifying the identity of the equation? 1+sec²0 = 1 + cos²0 sec²0 sec² 0…

A:

Q: s 4

A: To simplify (cos 3x)(cos x)-(sin 3x)(sin x)

Q: Show that the equation 2x + cos(x) = 1 has exactly one root. (IVT and Rolle's Theorem)

A:

Q: Im cos 2x + sin 2x} %3D Cos 4i - 4

A: To find: The imaginary part of -x4icos 2x+x4sin 2x. Concept used: If the complex number is written…

Q: r = 2 cos(4 e) r= 1+1 sin(0) r = 3 cos(2 0) r = 1+ 4 sin(e) r = 3 sin(3 0) r = 3 - 2sin(0) %3!

A: To match the given figures with the given equations.

Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

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

A:

Q: Show the solution for  (1 + cos A) (1 - cos A)

A: Explanation of the solution is given below..

Q: sin 4t sin 2t dt 1 sin 6t + C 12 cos 6t + C sin 2t + B) sin 2t 1 · sin 6t + C 12 D) 1 sin 2t + C 12…

A:

Q: Use the cofunction identities to select the correct answer which fills in the blank. cos(10x) = sin_…

A: We know that, sin(90°+x) = cos(x) sin(90°-x) = cos(x)