31) 2 tan x cos x+2 cosx= tan.x+1

Q: 12 and x terminates in 13 nd sin 2x, cos 2x, and tan 2x if sin x= sin 2x cos 2x %3D tan 2x %3D II

A:

Q: 10. Since (7,-1) is a point on f (x) cos z,which point will be found onf'(x) = cosx ? %3D O a (1,ח)…

A:

Q: 63. First, observe sin 4x = 2 sin 2x cos 2x = 2 sin 2.x(1 – 2 sin? x) = 2 sin 2x – 4 sin 2x sin² x =…

A:

Q: 3 Find sin 2x, cos 2x, and tan 2x If cosx= and x terminates in quadrant II. sin 2x cos 2x tan 2x

A:

Q: 15 and x terminate: 8. Find sin 2x, cos 2x, and tan 2x if tanx = sin 2x |3| cos 2x

A:

Q: 5. Show that cos x = x has a solution in the interval [0, 1]. Hint: Show that f(x): = X cos x has a…

A:

Q: "(등 -2) + ain (품 + 22) The simplified form of cos 22x) + sin O V3 cos 22x + sin 22x O v2 cos 22x + 2…

A:

Q: tan(2x) O 1+ cos(4x) sin(4x) O cos(4x) – 1 sin(4x) O 1- cos(2x) sin(2a) sin(4x) 1+ cos(4x)

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 5. Evaluate π/3 π/6 cos3 x sin−2 xdx.

A: 5.Solution…

Q: 2. 5. xcos x (sin'x - 2sin'x + sin°x)(cosx)

A:

Q: tan(2x) = O cos(4x) – 1 sin(4x) COS O 1+ cos(4) sin(4x) O 1- cos(2) sin(2x) sin(4x) 1+ cos(4x)

A:

Q: 12 Prove that sin 80 cos 0-sin 60 cos 30 a. = tan 20 cos 20 cos 0- sin 30 sin 40

A:

Q: 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…

A: Simplify the given expression: Coshπ-i

Q: 3. Show that the equation 1 + cos(x) – 2sin(=) = 0 has a solution in the interval [0, 7 /2].

A:

Q: 9 If f(0) = cos 01 cos 02· cos 03 ... cos On + tan 0,}=- f (0) Show, {tan 0, + tan 02 + tan 03 +…

A:

Q: 9) -135° Pos Neg Sin Cos -:-

A:

Q: 15 and x terminates in guadrant III. 17 Find sin2x, cos 2x, and tan 2x if sin x= - sin 2x cos 2x %3D…

A: The solution is given in the next step.

Q: Can you show me a step-by-step proof

A: We need the following two identities to produce the required prove:

Q: Prove Cos (3x)- cos (7x)/sin (3x+sin (7x) =tan (2x)

A: To Prove: Cos3x-Cos7xSin3x+Sin7x=tan2x Formulae to be used:…

Q: 8 and x terminates in guadrant III. 15 Find sin 2x, cos 2x, and tan 2x if tanx= sin 2x %3D cos 2x…

A:

Q: 4 Find sin 2x, cos 2x, and tan 2x if tanx and x terminates in quadrant IV. 3 sin 2.x cos 2.x tan 2.x…

A: Given:- tan(x) =-4/3 To find:- value of sin(2x), cos(2x), tan(2x)

Q: Compute 2° sin(x" + 2) dæ. O -7 cos(x" + 2) + C O 1 cos(x² + 2) + C O - cos(2" + 2) +C 1 cos(2" + 2)…

A:

Q: 9 If f(0) = cos 0, cos 02 cos 03 ..... cos 0n %3D Show, {tan 0, + tan 02 + tan 03 + ......... + tan…

A:

Q: 2. * 1 Add File 3. * 1 y = tan x + =tan³x 3 4. * y = = cos x 1 Add File y 1 cos³x 3 1 cosx

A:

Q: 4. Evaluate et cos xdx.

A:

Q: 2 cos' xsin* cos° xsin“ xdx

A: To evaluate:∫0π2cos5xsin4xdx

Q: 8. Simplify: cos(5x) cos(2x) + sin(5x) sin (2x) B) sin (5x) cos (7x) C) sin(3x) D) cos(3x) CoS

A:

Q: coS(T/11)-cos(2t/11)+cos(3t/11)-cos(4Tt/11)+cos(5rt/11)=?

A: To determine the value of the below expression. cosπ11−cos2π11+cos3π11−cos4π11+cos5π11

Q: 7. Suppose x is a number such that cos(x) = sin(x). Then: O a) cos(2x) = cos(x) O b) sin(2x) =…

A:

Q: 13. Differentiate 1 3 y = 2x2 + 6x3 – 2x2 а. 2 6 b. у 3 —t 4 3 x2 3 x4 x2 'x3 y = sin³ [cos(tan(3x –…

A:

Q: 1 Find sin 2.x, cos 2x, and tan 2x if and x terminates in guadrant IV. 10 cosx=

A:

Q: 8 and x terminates in guadrant IV. 15 Find sin 2x, cos 2x, and tan 2x if tanx %3D

A: Given  tanx=-815,  x in quadrant IV

Q: tan 30 + 2S in Go +Cos 30 -tan 60 4.

A:

Q: (sin 4z + cos 4) O 2+ sin 4I COs 4r O 1+2 sin 4x cos 4x O 4+ sin 4I COs 4x O 1+2 tan 4x cos 4x O 1-…

A:

Q: 27. Evaluate: cos 2) - sin 6 4 /3 /2 2 2 1 V2 V3 2 2 1 V2 2 None of the above. + |

A: Hence option (c) is correct.

Q: ind sin2x, cos 2x, and tan 2.x if tanx = -2 and x terminates in guadrant II. %3D sin 2x ? cos 2x tan…

A: In second quadrant sin is positive and cos & tan are negative.

Q: 1. tan 4 2. sin Зл 3. sin 4 4л 4. cos 3

A: There are multiple question. As per company policy kindly ask other question separately . 1.

Q: 4) Verify. cos²(x)[1 C. – tan²(x)] = cos(2x)

A:

Q: 4 Find sin 2x, cos 2x, and tan 2x if cosx= and x terminates in guadrant III.

A:

Q: 12. Write an éxpression that gives all sölutions to the equation. COS X - SIn x 3= 2.

A:

Q: 9 Prove Sen 4t 4 cos3t sint-sin3t cos t.

A:

Q: 4. Prove that tan x – cos x = sec x – cosʻ x - x- cos cos x – 1. :

A:

Q: 9 If f(0) = cos 0, cos 02 cos 03 ..... cos 0n %3D Show, {tan 01 + tan 02 + tan 03 + ... + tan 0,} =…

A:

Q: 4 2 cos y + sen²y cos² y - senty 3 cos² y 1

A:

Q: 7/3 In(tan x) dx T/4 sin x cos x dx

A: It is simple substitute method of integration

Q: 4. cos' (sin (7 /6 )) 5. sin 1 (cos (π/ ) 6. tan (sin (3n/2))

A:

Q: is it right to say cos (60o-30o) = cos60o .cos 30o+ sin60o.sin30o?

A: cos(A-B)=cosA.cosB+sinA.sinB

Q: 24. (sin 0°)(tan 30°) + cos 0° 26. cos 60°(cos 0° - cos 180°) 25. (cos 180° + 2 tan 45°) 27. (sin…

A: