5 sin 20 sin 100 5 cos 80 – 5 cos 120 -5 sin 80 – 5 cos 120 5 cos 120 – 5 cos 80 5 sin 120 – 5 cos 80 2 2 2 2

Q: V34 cos co - 59.036°) = 4 cos co -59.036°) V34 o - 59.036° - Cos" (会 o -59.036= 46.686 0 = ° 105.才22…

A: The objective is to find the value of theta.

Q: Establish each identity.

A:

Q: (cos 20+i sin 20)² (cos 30+i sin 30)2 3 (cos 40+i sin 40)(cos 60+i sin 60)

A: We know the De Moivre’s Theorem Which is  (cos x + i sin x)n= cos(nx) + i sin(nx)  From the above…

Q: (ii) Prove the identity (2 - 2 cos 0)(sin 0 + sin 20 + sin 30) -(cos 40 - 1) sin 0 + sin 40 (cos 0 –…

A: Prove the Identity: 2-2cosθsinθ+sin2θ+sin3θ=-cos4θ-1sinθ+sin4θcosθ-1 NOTE: Since you have asked…

Q: sin(70) +.. 8. sin(50) sin(8) + sin(30) 2 is equal to 6 sin(6) 5-4 cos(20) cos(0) 1- cos(20) None of…

A:

Q: 3. [cos 6° + i sin 6°] 30 = COS + i sin %3D

A: follow next step

Q: establish each identity

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the limit.

A: Consider the given limit lim△x→0sinπ6+△x-12△x   Use the formula  sinx+y=sin x cos y+cos x sin y…

Q: 1 cos²0 1 sin 9 1 tan 8 + tan 8 + || || Trigono 1 sin² 0 cos²0 1 sin cos 0

A:

Q: 8. Express the product sin30 cos50 as a sum. 1/2 (sin80-sin20) 1/2 (sin80+sin20) sin80-sin20…

A:

Q: In Exercises 7–12, one of sin x, cos x, and tan x is given. Find the other two if x lies in the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 3 5 - 20 cos 2 sin 20 de= 6/2 -T aO 64 3/2 64 3/2 32 2 32

A:

Q: (i) [2(cos 0° + i sin 0°)][4(cos 90° +i sin 90°)] (ii) [2(cos 210° + i sin 210°)][4(cos 120° + i sin…

A: change in polar form

Q: An expression that can be obtained from 13 sin 20 cos 20 5 4 sin 20 cos 20 + cos 20 i. 4 sin 20 + 9…

A:

Q: 3. * 2+7 sin3x cos2x 2 tan x+ 7 sec x +7 cos x +c C 2 tan x-7 secx +7 cos x +c 2 tan x + +7 cos x +c…

A: The integration of the integral is  (2+7sin3x) /cos2x.

Q: 1/6 2 +3 sin 0 cos 20 1/6 2 +3 sin 0 (T %3D COS Gos 20

A:

Q: Find the exact value of sin 1. sin 0 2. sin-1 3. sin V3 21 4. sin 5. sin 6. sin 1

A:

Q: snip

A: Use the identity tan x+y=tan x+tan y1-tan x tan y to expand tan 2θ.

Q: 5 sin coso do 2 Sin ² + 3 sin 0 -4

A:

Q: 1. If tan z = - 0.5 then tan( – æ) - 2. If sin z = 0.5 then sin( – æ) = 3. If cos a = 0.2 then cos(…

A:

Q: 6. 2 sin 0 + sin 20 = 0

A: We are solving the first question and for the next question post the question again and alsomention…

Q: sin(3θ) =3sin(θ)−4 sin^3(0)

A:

Q: (cos 20+i sin 20)² (cos 30+i sin 30)² | 3 (cos 40+i sin 40)(cos 60+i sin 60) COS

A: The given expression is cos2θ+isin2θ2cos3θ+isin3θ2cos4θ+isin4θcos6θ+isin6θ13 use De Moivre's theorem…

Q: 9. sin-1 /2 /2 10. sin-1_ 1

A: We have to find the exact value of the inverse trigonometric expression: 9.     sin-12210.…

Q: Establish each identity.

A: Our Aim is to prove the identity given below:-1-cos 2θ +cos (4θ)-cos (6θ)=4 sin (θ) cos (2θ) sin…

Q: 1. tan' 4.cos' A + sin' tan 2. sin' A1 + + + cos' 4(1 +tan' 4)-2 tan 3. (cos x+sin x(cos x-sin x)- 2…

A: Using,  Tanx = sinx/ cosx  Sin2x + cos2x = 1

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: az"¹)]sin(a @)-¹ + a² az-1)2]sin(a w)₂-¹ + a² az-1)³]sin(a @)²-¹ + a² -(az-1)³]sin

A:

Q: 4/7 8 sin 18) 8 8 sin 10tan 10) do sec? 10) +.

A:

Q: sin x= 6/7, cos > 0, sin y = -1/5, and cos y < 0 How do I find sin(x + y), cos(x + y), and tan(x +…

A: Given that  sinx=67, cosx&gt;0,siny=-15and cosy&lt;0. We know that…

Q: 3 2 sin 20 cos 2 0 dO= 3/2 .a 64 2. 32 6/2 64

A: Option (a) is correct.

Q: Prove the identity: sin(0)-co sin (0) +cos (0)–1 cos (8)+1 sin(0)+1 cos(8)

A: On proving this we will get

Q: 13 7. tan | sec 5. -1 4 8. sin cos I5 9. sin (sin n) 10. csc (sec '2)+ cos (tan 3

A: NOTE: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 1. If tan a = - 3.5 then tan( – 2) = 2. If sin æ = 0.4 then sin( – æ) = 3. If cos x = 0.9 then cos(…

A: 1.  tan is negative in 4th quadrant tan(-x)=-tanx= 3.5 2. sin is negative in 4th quadrant…

Q: tan 6+ sin 0 cos 2 2 tan e

A:

Q: 9 cos2 β − 9 sin2 β = 9 − 18 sin2 β

A:

Q: 3 sin 0 +7 sin 0+4 sin 0 +2 sin 0 +1 2

A:

Q: 3 2 sin 2 0 cos 2 0 dO= 6/2 IT a O 64 32 3/2 64 3/2 32

A:

Q: (cos 40 +i sin 40)(cos 30+i sin 30) cos 50 +i sin 50

A:

Q: (A[cos(6) - 3 cos(3) + 2] + B[– sin(6) +3 sin(3)] = 2, A[sin(6) + 3 sin(3)] + B[cos(6) – 3 cos(3) +…

A: Given that, Acos6-3cos3+2+B-sin6+3sin3sin3k+Asin6-3sin3+Bcos6-3cos3+2cos3k=2sin3k

Q: sin 80 do Evaluate the integral 7+ cos 80 using the substitution u = 7+ cos 80. sin 80 do 7+ cos 80…

A:

Q: Establish the identity. sin 0+ sin (30) cos 8- cos (30) Choose the correct sequence of steps to…

A:

Q: Prove : sin 3θ = 3 sin θ + 4 sin3 θ

A:

Q: tan + tan 15 10 5. Find the exact value of 1- tan tan 10 15 1 А. /3 С. 1 B. V3 D. undefined

A: Let x be an angle in a right-angled triangle and a and b be the measure of sides opposite and…

Q: Sin 4 Cos 4n %3D Sinn (osn

A:

Q: cos (4-360°)sin(-4) 5.2.1 tan A.cos 180° sin 10°.cos 120e 5.2.2 cos 80°,sin 150° 5.2.3 sin (540°-x)…

A: Since you have posted many questions here, I can answer only one at a time. Please repost other…

Q: 4) 12 34 Cos-1 (12/34) Tan-1 (34/12) Sin-1 (34/12) Sin-1 (12/34) O Tan-1 (12/34) Cos-1 (34/12)

A: Let, the Missing angle be, x  So, we have, tan(x) = 12/34

Q: 3元 4) sin 5元 5) sec 4

A: Given,          sin3π2

Q: 1 tan-12 5 6. sin cos 13 7. tan sec 5 8. sin cos 5 (c) 9. sin (sinz)

A: Here we have to find the given trigonometric function.

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.