Pe(cos 6) = orove that: PL(1) = 1, PL(-1) =(-1)'.

Q: Explain how to find ∫ cos15 x dx without actually integrating.

A:

Q: tan e de (1+ In cos ele

A:

Q: Express (cos(a@) ti sin 4i sin (a@) in exponential form

A:

Q: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: tan(v) In(cos(v))dv.

A: Assume lncosv = t Differentiate both sides

Q: **#1.) In triangle JKL, mZK = 90° and tanl = Determine the value of cos). %3D

A:

Q: What will be the neutralizing factor of 7sin(4x +sin(2x)dx when it is first evaluated using product…

A:

Q: b) cos(-z)=?

A: In the question we have to find the angle of cosine which is lying in third quadrant as cosine is…

Q: cos 4x 2 dx sin4x 5.

A:

Q: dx of SC 1+ cos X

A:

Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: 3) If the velocity of a particle moving along a line is given by v(t) = cos = COS 2t), which…

A: We have to find the position expression from the velocity function.         According to our…

Q: (-1) cos[cosh (In ")]dr 4.

A:

Q: So sin (x²) dx cannot possibly be 2. Show that the value of Lisin

A:

Q: Find the approximate value of cos (sin(-0.44). cos (sin -1(-0.44) = [ (Round to four decimal…

A: We will find the approximate value of cossin-1-0.44 in the following step.

Q: (a) Show that the equation cos rdr + (1+ -(+)- sin rdy = 0 is not exact.

A:

Q: 12 "2 If Y= \n(Sinae), Prove y =y=- ノ

A: Here, the given function is: y=ln(sin x) So, y'=1sin x(cos x)=tanxy''=ddx(y')=ddx(tan x)=sec2x

Q: 7 Express cach of the followir giving only principal values: (a) sin (2 – i)

A:

Q: If x = Cos0 + Cos 20 and y= Sine+ Sin 20. Show that : i) x'-y' ii) 2xy Sin 20 + 2 Sin30 + Sin40 Cos…

A: To show that i) x2-y2=cos2θ+2cos3θ+cos4θii) 2xy=sin2θ+2sin3θ+sin4θ

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: .Find a reduction formula for ea* sin" x dx. Hence evaluate e* sin x dx. 3

A:

Q: S 3. sin°ydy 1+ cosy

A:

Q: 9) -135° Pos Neg Sin Cos -:-

A:

Q: S sin° (3t) cos(3t)dt Evaluate COS

A: To determine the value of the integral.

Q: The value of integral (cos(4x)+cos(81)) dx

A: We have to determine the integral

Q: 2. What is the exact value of cos()? |(0, 1) (글,

A: Graph is symmetrical in -2 to 2. So the midline of function is y=0.

Q: cos ( - i ln3) is equal to, COS O 4/2 O 5/2 4/2 2. O 5/2 6. 4/2 23,

A:

Q: السؤال 4 lun cos (플ev)-

A: We have to choose the correct answer

Q: If cos A %3D with A in QII V10 Find tan 2A. HIN

A:

Q: 3. sin 3z cos 5z dr

A: Here we have to evaluate I=∫sin3xcos5xdx

Q: Differentiate cos cos" Vi-x? y = ecos

A:

Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

A:

Q: Evaluete " 2X Cos(sin --

A: Use the inverse trigonometric identities and simplify.

Q: 6) If sin 0 = 0.2774, find cos 0. Round to four decimal places.

A: Given: sinθ=0.2774

Q: Use differentials to approximate the value of cos 29°.

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: laploce ď ļ cos' at} 2

A:

Q: 12) Given y = 2 sin2x Period = b 3D Period = 1-- -1- -2

A: Solution: Give y=2sin2x Now use the form [a sin(bx-c)+d] That implise a=2 and b=2   Period =…

Q: 7. Evaluate Arc cos(j2).

A: It is principal value.

Q: ) Find | sin can) cas (ga)da cos (gx) dx

A:

Q: We wish to compute sin° x cos“x dx,

A:

Q: 25n B- If cos-1 (cos) = y , Find value of y?

A: B. cos-1cos25π6=y =cos-1cos24+1π6=cos-1cos24π6+π6=cos-1cos4π+π6 cos4π+θ=cosθ =cos-1cosπ6=π6

Q: 3. When e is in standard position and its terminal side passes through the point (4, -2) Find the…

A: Given: θ is in standard position and its terminal side passes through point (4,-2)

Q: 2 Arc cos (1- y=

A: Given,   y=2arccos1-x2+4x-x2.   It is differentiated as follows:…

Q: . Evaluate S sin' 2x cos 2x dx

A:

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

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

Q: The range of this Y= 2 cos (3x) Is?

A:

Q: Differentiate  cos(t^2 - 6)

A: Given: cost2-6

Q: Suppose that π/2≤θ≤π, sin(θ)=2/9, find cos(θ)=______. (round to 3 decimal places)

A: Here, θ is in the second quadrant( π/2≤θ≤π) and cosine is negative in the second quadrant.

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.