2. Prove the identity: (cos x- sin x)2 + (cos x + sin x)2 = 2. %3D

Q: 18 If csc(x) (in Quadrant-I), find 7 = s(2x)% = COS %3D

A: We have to find the value of cos2x.

Q: find the extreme values on the interval g(θ) = sin2 θ − cos θ, [0, 2π]

A:

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: Sketch the graph

A:

Q: Find without using tables, the values of cos x and sin x when cos 2x is 7/25

A: cos2x=725

Q: 2. Find the exact value of sin(a + B) under the given conditions. 5 tan a = 12 코T< a< 프, sin ß = -,…

A:

Q: Find tan'e de cos*e 33. sin o 36. Cos

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Q: 3. If cos x =- Find the sin x and tan x in the interval 13 XE

A: Given:        cosx=-513  we know that                      cosx=adjacenthypotenuse…

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: 13. Simplify the leftandside so that LHS=RHS sin(b)/cos(b)-1 + sin(b)/cos(b)+1 = -2/tan(b)

A:

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin' x tan

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Q: If sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

A: Given sinx-cosx=15Squaring the equationsin2x+cos2x-2sinxcosx=125

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 8 sin(x) = x in Quadrant I %3D 17…

A:

Q: At what value(s) of x does cos x = 2x?

A: To determine the intersection value of x where x = 2x.Here the first curve is y = cosx and the…

Q: 18. Given: B = cos Find the exact value of sin 2B. %3D

A:

Q: 3. Prove that the identity is true. sin*t- cost = tan²t-1 cos't

A:

Q: Apply Newton’s approx. to find the value of x for cos x = sin x; x0 = 1.

A: Topic-  Numerical Analysis. Newton's approximation Formula: xn+1 = xn - f ( xn)f' (xn)

Q: 2. Apply the properties of even and odd functions to find the exact va a. sin(-120°) (-#) c. sin…

A:

Q: Evaluate: * cos² 2. * x cos? x dx sin

A: Given: ∫cos2xsin4xdx

Q: which of the following is equal to į sin x cos (x) dx ? A cos () + C 3. cos (2x) + C O Option 1…

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

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

A:

Q: 40 a) Find sin' xcos' xdx by using substitution u = cosx.

A:

Q: The value of the expression cos z - tan z – 9+ sin z+ secz is

A: given expression is…

Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

A:

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: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

A:

Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

A:

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: It is given that sinx=35.

Q: Given that sin-(x) = a and cos-(x) = B show that sin(a + B) = 1. %3D

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Q: 8. Evaluate sin (x) cos(r)dr using an appropriate substitution.

A: here  we use the formula  ∫(xn)dx=xn+1n+1+C     according to our guidelines we can answer only…

Q: 1. Differentiate the following with respect to the variable given. 1 cosx 2 sin x tan 2. Given the…

A: We can solve the given problem as follows:

Q: The suitable substitution to evaluate sin24(x+2) dx is None 1 [1- cos4 (r+2)] [1+ cos8(r + 2)]…

A: Topic- integration

Q: 1. cos x |? ecosx sin xdx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Question 4 in picture

A:

Q: 5л What is the exact value of sin(cos(n)) where n %D

A: The given trigonometric function sin-1cosn where n = 5π2 cosn=cos5π2=0     since cosπ2=0

Q: 2. Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where…

A: The graph of sinx for 0&lt;x&lt;2π is:   The graph of cosx for 0&lt;x&lt;2π is:

Q: 1) Using the formula: cos(x +y) = cos x cos y – sin x sin y, prove in steps that: cos? x = 1+cos 2 x

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV sin(2x)…

A: Answer and explanation is given below

Q: ( esch(3 tan z) + sin². 1. cos? r

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Q: 24 and cos(x)= 25 7 what is the vaule of tan(x) 25 If sin(x)= ? z,

A: According to the tangent identity, tan(x)=sin(x)cos(x). We know the value of sin(x) and cos(x), so…

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A:

Q: 15. Evaluate | sin° x cos xdx 3

A:

Q: Evaluate 2 sin x cos x dx by three methods: (a) Let appearance of the answers obtained in (a), (b),…

A: To evaluate: I=∫2 sin x cos x dx

Q: Find z where z = sin (æ²) cos (4²) COS

A: The given function is z=sinx2 cosy2.

Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

A:

Q: At what value(s) of x does cos x = 9x? X=

A: Cos x= 9x To find the value of x

Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…

Q: Write 4 coS x sin x in the form R cos(x – a) with -T < a < T. Round to three decimal places.

A: Consider the given function.