We apply one of the Half-Angle Formulas to simplify the integral cos (5æ) da. VWhat is the resulting integral? ° 4. (1- cos(10z)] dz |4 [1+ cos(10a)] dæ 16 [1- cos(10z) dz |16 (1+ cos(10z)] dæ 4 (1- sin(102)| daz

Q: Determine the exact solutions to cos: O ○ 0=160=² ○ 0-5,0- 7x 0= 6 6 O O 0 7x 6 5x 6 R 0= =,0= 6 11x…

A: We can answer the question in the following steps.

Q: 2. 4y+12y+10y=16x-50 cos 2.x

A: Solution to the differential equation using short cut formula method.

Q: Verify the identity. 4 sec? y - 4 cot( - y) =- 4 sec? y - 4 cot (- y) - 4 (sec² y - = 4

A:

Q: Which of the following is equivalent to | cos(4a)sin (4x) da ? cos udu · 1 sin udu, where u = 4x…

A: The answer is found in step-2.

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: Q2/ A) Prove the identity Sin (A + B) + Sin (A - B) = 2SinA cosB %3D

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Q: Find dr r = 1 - 04 sin 0

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Q: Solve the equation sin 0 + 3 cos 0 = 1 for 0€ [0, 2л).

A: Explained below

Q: sin e cos (cos a cosec 0) de (1-cos a). 2 ||

A:

Q: cos 2x dx I+ sin 2x

A:

Q: What is Arg(cos ()- i sin-)) 21/3 TC 7T 37/4

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. Find S sin5 x cos* x dx.

A: Use substitution method

Q: i) Simplify sin(2sin-1x). ii) Show that sin 30 = 3 sin 0 – 4sin30. iii) By using the substitution 0…

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Q: Make the trigonometric substitution x=atanθ for −π/20. Simplify the resulting…

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Q: the exact aue of the expression sin sin (a - B) = | (Simplify your answer. Type an exact answ

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Q: Show that sin² 0 cos² 0 8 1 cos (40). 8

A: To show that: sin2θcos2θ=18-18cos(4θ) Solution: We know: 2sinxcosx=sin(2x)    ..(1)cos(2x)=1-2sin2x…

Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

A:

Q: Cos (2 on36)

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: j sin 125 cos 11 1. Simplify 47T . Express answer in rectangular form. 47 +j sin cos

A:

Q: 1 minus the fraction of cos squared theta/ 1 plus sin of theta

A: Use Pythagorean identity sin^2 theta + cos^2 theta=1  This gives, cos^2 theta = 1 - sin^2 theta

Q: 2 sin COS

A: we use the formula :Sin 2θ = 2 sinθ cosθ.