4T 1.) sin 2.) cos 510

Q: Use the conditions below to find sin 2θ, cos 2θ, and tan 2θ. cos θ = 5/13, 3π/2< θ < 2π

A: Given:

Q: .4 || (cos²e + sin?e) dp dz de 8 2(0*cos?8 + p*sin?e) p dp dz de

A:

Q: 1-cos . Fill in the blank: sin(_) = V 2 O 7y

A: As per our guidelines we are only supposed to solve first question in case of multiple questions

Q: 14.) cos? 0 sin' 0 de

A: We have to find

Q: 4. State the quadrant in which 0 lies. a) cos 0 > 0, tan 0 0

A: Introduction: All sin tan cos rule: All sin tan cos rule is all trigonometrical ratios in the first…

Q: 2. Find the cxoct values of Sin Zu and cos2u

A:

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

Q: V sec?e +tane – 1 -de | Evaluate 1- sin?e 2

A:

Q: If x = 4 sin 0, then J csc2ede = %3D

A: Here, ⇒x=4sinθ⇒sinθ=x4 By using Pythagoras theorem, We will have remaining side of the triangle…

Q: K|N sin cos 60 de

A: Given: ∫0π2sin8θcos6θdθ To find: evaluate the given integral. This is a problem related to…

Q: The value of ( sin A+ cos A)2 - sin 2A is

A:

Q: find sin(a) given that cos(a) = 3/5 and sin(a)

A:

Q: T/6 The value of ( cos* 30 sin 60 de is

A:

Q: r = sin 8 +2 cos?e

A: The given equation is r=sinθ+2cos2θ. Note that r=sinθ+2cos2θ is a polar curve.

Q: 3. Solve the following trigononetric equation for a. sin r = cos" r on [0, 27).

A: Given equation is: sin2x = cos2x                  on [0, 2π]

Q: 57 h. cos-1 (sin) 4

A:

Q: 75 cos a sin? zdx=

A:

Q: 3 sin 30 cos 0 d0 3

A: Given:         ∫0π3sin3θ cosθ dθ    Use the following identity…

Q: 6. (a) 2 cos?t (b) 3 sin 2x

A:

Q: (b) 2 sin cos 2

A: This question is about trigonometric identities.

Q: (a) (2 cos 8 – 3 sin 30) de dr CS Scannec with CamScanner

A:

Q: The value of So" 6 (4+ cos2x)dx is:

A:

Q: Which of the following is not true? a) cos?t+ sin²t = 1 b) csc²t - cot2t=1 c) cos?t- sim²t = 1 d)…

A:

Q: Which of the following is not true? a) cos?t+ sin²t = 1

A:

Q: If sin A 315 3π 2 where π < A< then cos 2A =

A:

Q: 2 sin(0) <0 <T Given that 3 and 2 what is the exact value of cos(20)?

A: follow the procedure given below.

Q: Cos 56 CUST J sin'sB-sinsB dB

A: Consider the provided integral, ∫cos5βsin25β-sin5βdβ Find the expression for the provided integral.…

Q: Which of the following is not true? a) cos?t = 1+ sin²t b) sin?t = 1- cos²t c) csc?t = 1 + cot?t d)…

A: From the trigonometric relation: sin2t+cos2t=1 So, sin2t=1-cos2t Therefore, Option (b) is true and…

Q: 10* -dx may be written as Aln secB* + tanB*| + C, where A, B, and C are constants not equal to zero.…

A:

Q: 1 tan z = 3'

A: The value of tanz =13  is given where, π≤z≤3π2 Solution: (a) Now  we have ,tanz =13, So -tanz will…

Q: Given that sin(x) = 11/61, and 0<x <<x< pi/2 %3D Find cos(2x).

A:

Q: r = 12 sin 18ti + 12 cos 18tj

A: Given :

Q: find dp/dq p =sin q + cos q/cos q

A:

Q: x = 4 sin? 0, y = 5 cos? 0 %3D in the given Cartesian form. with 0 <x< 4.

A:

Q: 4 5. "sin? 4y cos? 2y dy

A: Substitute y=u2,dy=du2. ∫0π4sin24ycos22ydy=∫0π212sin22ucos2udu…

Q: (a) cos(α + β)  (b)  sin(2α)

A: The objective is to find  (a)cos(α + β)  (b)  sin(2α)

Q: Find (a) sin 2' (b) cos , and (c) tan 2 - 2 13 csc 0 = and 90° <0 < 180° %3D 12

A: cscθ=1312 and 90°&lt;θ&lt;180°find,a) sinθ2b) cosθ2c) tanθ2

Q: 2. cot 20 = Csc8- 2 sin e 2 cos 0

A:

Q: sin a cos a + sec a 53. sec? a — tan? а csc a

A: To verify the identity

Q: de I cos? 0 2

A:

Q: Which of the following is not true? a) cos?t+ sin²t = 1 b) sec²t – tan²t =1 c) csc?t – cot²t =1 d)…

A:

Q: sin(2 – 3i) cos(3 – 2i)

A:

Q: Find all angles in the interval [0,2n) that satisfy the following equation: cos(3x) – 1 = 0

A:

Q: 3T 7. (a) sin (b) cos

A: 7. a) sin3π4 Use the following identity                                                        sin x…

Q: find an eguation in X, y r Cos e 25 r Sin@= - 2

A: The objective is to find an equation in x, y.

Q: 5. (a) 2e' sin? (b) e cos ?1

A:

Q: Tt/2 2 sin(2x) dx 4– cos(2x)

A: The solution is:

Q: 10 Cos 30 + j sin 30 9 Ccjs 1000)

A: Given expression iscos2θ+jsin2θ5cos6θ+jsin6θ10cos3θ+jsin3θ9cjs100θ

Q: Find sin 20 if cos 0D 17 (where 0 is in the fourth quadrant).

A: Given: cos θ=817 and θ is in the fourth quadrant

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.