L-' ( In 8s4 (252+25)(4s²+16) 2 cos 21+2 cos( 1)-를 2t cos 2t + 2t cos ( 1) - 2 cos 2t+2 cos :)- cos 21+r cos( )-1 cos 2r+ cos()-1 tcos 21+ cos( )-3 cos 21+ cos()-2 //3

Q: 1) sin 9) tan-1 (-V3) 11) sin- 2

A: Given! 7)sin-1(-1/2) 9) tan-1(-√3) 11) sin-1(-√2/2). Repost the next parts.

Q: 14- Prove the identities a) (1-2sin^2 x)/(cos x + sin x)+2 sin x/2 cos x/2= cos x b)…

A: Part-a

Q: 9) csc tan 13 4.

A:

Q: sin :) =_ co) - 87 ; cos 3

A: To find, sinπ4cos8π3

Q: 11 -1(cos( -(- COS 10

A: Given,cos-1cos( 11π10)

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

A:

Q: Prove a) cos(0+0) = COSOCOS-sinesind

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

Q: tan 0 de equals to : 1+sece In |1+tane|+c In |1+sece|+c O (tane)^2/2+c -In |1+cose|+c

A:

Q: If u(s) = -11 ((s)°) (cos(s)), then: а) u' (s) = 11s (s)') sin(s) – 55s(s)*(cos(s)) – 11 ((s)°)…

A:

Q: Match each expression with the appropriate formula that would be used for simplification. sin 8x +…

A: Solution:-

Q: 06 Express cos 0 in terms of multiple angles. O (cos50 + cos30 + cos0)/16 O (cos50 + cos30 + cos0)/8…

A: Please find attachment for the details solution

Q: 2n If A= sin 7 2n + cos 7 8T + sin- + sin and B= cos 7 then VA? + B? is equal to + cos- 7 7 7 (A) 1…

A: Given: A=sin2π7+sin4π7+sin8π7B=cos2π7+cos4π7+cos8π7

Q: Show that the sun of the odd numbers 1+3+5+7+9(2n+1)=n^2

A: We have to prove this using arithmetic mean  In this a = 1 which is first term  And common…

Q: Solve 3cos^2x=sin^2 on the interval [0,2pie]

A:

Q: is there a proof that cos^2t +sin^2t=x^2 + y^2 =1 ? if there is , how?

A: To prove the below statement Consider a right angle triangle as shown below

Q: TT -1 Cos 2 sin 2

A:

Q: Show that 2 tan'e cose =3 can be written in the form 2 cos'e+3 cos e-2 =0. Hence solve equation 2. 2…

A: Let's find.

Q: Evaluate: e* cos (7e*) cos (4e*) dx - sin (3e*) + –sin (11e*)+C A 22 B - sin (3e*) – –sin (11e*) +C…

A: Evaluation of the Integral

Q: is equal to 에는 S + 3s s² + 4 1 + 3 cos 2t }

A:

Q: cos" (cos 15,7) 7: 8. cos

A:

Q: Solve the following algebraically:  a) tan (theta)+cos(theta)/1+sin(theta)=sec (theta) b)…

A: a) Here we have to show that  tanθ+cosθ/1+sinθ=secθ Now here we use the formula tan(θ)=sin(θ)cos(θ)…

Q: Show that cos 2x-cos 6x sin 6x-sin 2x b) Hence or otherwise, solve = tan 4x cos 4x cos 2x-cos 4x cos…

A: Hence proved

Q: Suppose f (x) =cos(4- ). Evaluate: A - 3sin x- B D 3sin

A:

Q: + jsin 12 12 .2 +jsin - Simplify 3 cos cos

A:

Q: (1+iV3)" + (1– iV3)" = пл 2n+' Cos(- 3 2" Sin(- 3 (1 – (iV3))2n 2" Cos(- 3 00 2n+ Sin( 3

A:

Q: 1) tan - 2) cos 3) tan 105° 4) sin 5) sin 105° 6) tan 165° 13n 7) cos 12 8) tan 15° 9) cos 12 10)…

A: cosA+B =cosA cosB - sinA sin B tanA+B =tanA+tanB1-tanA.tanB tanA-B=tanA -tanB1+tanA.tanB Note : As…

Q: 3 Show that sin' 0 cos“ 0 1 1 cos (40) + 32 cos 128 cos ( 80). 128

A: To prove that,           sin4θcos4θ=3128-132cos4θ+1128cos8θ

Q: Evaluate L{3 cos? 2t} 3 3s 3s а) b) 2s + - 2s 2(s2 + 16) 2(s² + 16) 1 c) 3 d) S 3s 2s ' 2(s2 + 16)…

A:

Q: -5 cos 2B cos 6B -5 cos 4B + 5 sin 8B -5 cos 8B – 5 sin 4B 2 2 -5 cos 4B – 5 sin 8B -5 cos 4B – 5…

A: Solve : -5cos2Bcos6B Use formula = [cos(a-b)+cos(a+b)]/2

Q: if cos alpha + 2 cos beta + 3 cos gamma = 0 ; sin alpha + 2 Sin beta + 3 sin gamma = 0 then  cos 3…

A:

Q: 1) cos- 1 2 3) sin-1 V3 5) cos-.

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others part as…

Q: In a rectangle, the width is one-third the length. The total perimeter is 40 inches. Find the length…

A: Solution: Given:    Width is one third of the length of rectangle     and the perimeter of rectangle…

Q: . is cos(cos^-1 1.7=1.7 true?     2. is sin^-1 (sin80*)=80* true?

A: We know the basic relations      cos(cos-1x)=x Because cos and cos-1 are opposite functions,…