sin x 1-cos x 96. csc2 x a) 1+ sin?x cosx b) sec?x c) d) sin? x 1+cos? x e) sec x + cot x %3D Cosx 1+cos x

Q: The value of cos x is given. Find sin x and tan x if x lies in the specified interval. cos x 3n CoS…

A: Given:  cos x=-45, x∈π, 3π2 To Find:  To find sin x and tan x for the specified interval.

Q: 5- Prove that a) tan x (csc x – sin x) = cos x b) 1+ sec?x sin?x = sec?x

A:

Q: 1 sec A-tan Asin A = %3D sec A

A:

Q: Hiw ABy using Euler's formula prove That : sin(-2)= cosz

A: Euler's formula  Sun(a-b) = sinacosb - cosa sinb

Q: 37 cot x = 0,4955; con z<x< a. sen x d. sec x) b. cos x) e. csc x c. tan x

A:

Q: (-n *) Prove sin? x – sinx cosx – 2 cos? x =0 in п, 2 has five root's Hint. Intermediate value…

A:

Q: Verify the identity: (sin x - sin y)/(sin x + sin y) = tan (x - y/2 cot (x + y)/2

A: We will use the formulas

Q: Verify the identity: sin(x - y)/(cos x cos y) + sin(y - z)/(cos y cos z) + sin(z - x)/ (cos z cos x…

A:

Q: 28) Establish the identity. sin 0 (cot 0 + tan 0) = sec 0

A: We will use basic trigonometric identities mentioned whenevr they are used, to prove this.

Q: If y = sin x, then y' = - cot x sin x - tan x sec x sec x -sin x - Cs X tan x cos X CSC X

A: Given function is y=sinx. Differentiating the given function with respect to x, we get…

Q: 04) Prove that 1- Cos + x) = sin x, 2- (sin x +cos x) sec x = sec2 x %3D

A: We have to prove that following trigonometric identity.

Q: lim, 0 tan² (7x) cot(11x) (r+7)sinx

A:

Q: Lan: prove (:) - - 4. sin x tan =1- cos x

A:

Q: he interval [0,2r) cos (x) sin (x) = 2 cos (x)

A:

Q: 3. Prove the identity of tan x + cot x = csc x sec x. Work on the left side.

A:

Q: 5. Verify the identity: sin(x- y)cos y+cos(x– y)sin y = sin x

A: Explanation of the solution is given below.....

Q: 4. Verify the identity sin(z+y) %3D COB E COS y tan z+ tan y

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: .

A: The given matrix is,

Q: Prove the identity. sin(x+y) sinx + cos(x+y) cosx = cosy

A:

Q: 2. Verify the identity: csc(a) = } sec² (4) cot(;) 2 2

A: Given

Q: What is the value of 4 (sin x tan dx X)? a) sin x + tan x sec x b) cos x + tan x sec x C) sin x +…

A: ddxsinxtanx= cosxtanx+sinxsec2x=sinx+tanxsecx

Q: Another form of sec x dx cos x 1- sin²x b. Use the identity in part (a) to verify that 1. |1 + sin…

A: a) we have to verify the identity sec(x)=cos(x)1-sin2(x)Consider, RHS=cos(x)1-sin2(x)we…

Q: If 1, = | x" sin x dx, prove that 1, = nx"-! evaluate -1,. sin x- x" cosx– n(n-1)I, 2. Hence, = NX…

A:

Q: Prove: sin? x 2 cos“ = cos 2-2cos x

A: We will use basic properties of trigonometric ratios

Q: | 3. Which expression is equal to csc x – cos x cot x using identities? sec x ) sin x cos x csc x

A: Substituting some of the standard identities gives us the result.

Q: 4. Prove the identity csc 0 – sin 0 = cot 0 cos 0.

A:

Q: 2) Verify that the equation is an Identity tan 0 %3D sin 0 sec 0 %3D %3D

A: We know that secx is the inverse of cosx and tanx=sinxcosx the objective is to prove the…

Q: 1) Prove that cos°(x) + sin (x) = 1. (refer to notes). Use the "Square" formula.

A: See the attachment

Q: 41 Prove al tanx + cosx= Sin X (sec x+ Cot x) メ b) Cos 2 ttan' t= Sin? t es Cos? (tan"x+ 1 = 1 %3D

A: As per our guidelines we are suppose to solve only first three sub-parts of a question. Kindly…

Q: Which expression is equivalent to O cotx+sec x O cos x + cot a Otan x+sec x O sinx+tan x an £ ? cos…

A:

Q: the exprression csc x/sec x  is equivalent to: 1.  sin x 2. cos x 3. tan x 4. cot x

A: *to find:-  csc x/sec x = ?

Q: 8) Prove the trigonometric identity. (sin z + cos r)? = 1 + sin (2r)

A:

Q: x=cos¬! 1 prove that sec" X= cos

A: Given sec-1x=cos-11x

Q: tan x csc x-tan x sin x tan +cos x cos? Prove = COS s“ x csc x Show all work to receive credit

A: We have to prove

Q: 4. f(x) = Cos Ex) – 5 Stnh (x) %3D 5. f(x) = Sin(3x)Cos(x) (Hint: use product-to-sum trigonometric…

A:

Q: (a-B) (at sin (a+B) 2- show that cosa – cosß = -2sin 2.

A:

Q: Compute (sin (x)) dx cos'x 3 sin' x cos x O Not listed here 3 sin? x 3 sin x cos x

A: Given query is to find the derivative of the expression.

Q: n x)(\sec x+\tan x) \equiv \cos x, \quad nathbb{Z} .

A: (a)  To prove that: (1-sinx)secx+tanx≡cosx

Q: Prove the identity. sin(n-x)сos(n+x)tan(2π − x) T 3π 3π sec+ x)csc(³7-x)cot (³7 + x) = sin^x - sin²x

A: I have appended the formula used in the solution part of the question

Q: Simplify sin “ z – cos“ æ O 2cos (x) - 1 O 2sin*(x) - 1 O 1+ 2sin*(x) O 1+ 2cos (x)

A: Using trigonometric identities.

Q: sin 2x sin x Cos 2x %3D Prove that 4 cos x - sec x Cos a

A:

Q: 1. Given tanx = - and cos x >0, find secx. A. в. C. V10 D. 2V10 2. Given secx and sin x 0. 3. Find…

A:

Q: 16. Which expression is equal to csc x - cos x cot x using identities? sec x sin x tan x COs x

A: Trigonometric identity

Q: from the given information. tan(x) = 2,   0° < x < 90° sin x/2= cos x/2= tan x/2=

A: Given tan(x) = 2 So first find x ,   where 0° &lt; x &lt; 90°

Q: 5. Restricting to the domain (0, ∞), let 1 1 = cos(=) sin(=)+= and 1 1 g(x) = (cos(÷) sin(÷)+ g(=) =…

A: Sine is a periodic function it dpes not approaches  any value as x approaches  to infinity

Q: Q3:A| Prove that:- cos x 1) 1+sin x 1+sin x = 2 sec x cos x tan? x 2) tan? x+1 = sin x

A: topic - trigonometric identities

Q: 1. tan x csc x-secx cot x sin x-cos x sin x cos x

A: This is a problem related to trigonometric formula. General formula which use for solving 1 problem…

Q: Is this: sin x cos y- cos x sin y/ cos x sin y reciprocal quotient pythagoreom  algebra

A:

Q: 5(cos? x – 1) sin x cos x – sin x O 5 tan z + 5 sec x O 5 sin x + 5 cos x O 5 cot x + 5 sec ¤ O 5…

A:

Q: sin x cot x (1 – cos x Prove -- sec x | 1) Show all work to receive credit

A: We have to prove