7 If cos x s and sin y = -0 < x <,n < y < *, evaluate sin(x – y) using compound angle formula. %3D 25

Q: sin x dx T, what is sin 0 de? 4 TT

A: Given condition is

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

A: We have to find the value of cos2x.

Q: If cos (x +) + sin (x- ) = A, then the number A is equal to А. —2 В. — 1 С.О D. 1

A: compound angle formulae of trigonometry.

Q: QUESTION 13 If y = sin?t+ tant, x=-1 – In(- cost) – e* - esinr, find the value of y' when t= 2+ Vze…

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Q: 04.) Show that y= (sin x +cos x) sec x = see? x

A: Use the trigonometric identities and simplify to prove the given expression. Also check for a value…

Q: 05 y' + (cot x) y 3 sin x cosx

A: We have to solve the given differential equation.

Q: 4 sin? x cos xdx

A: Explanation of the solution is given below..

Q: D?/if w= Cos (X+y)+Sin (X-y) Show that

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Q: 4. The amplitude of the function y = 2 tan 2x + 2 is 2. 5. If sin 0 > 0 and cos e < 0,0<es 360°,…

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Q: Suppose y = sin x. %3D What y-value corresponds to an X-value of 37? 2

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Q: If sin x - x sin x = -y cosx , then (y - 1) sin x = ? da C- x sip C+x sitft (B C - x COSX C+x COs

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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: – sin x show that - In |sec x +c ??? %3D COS X

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Q: |16 sin?x cos?x dx

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Q: How can we find x using SohCahToa? sin 34 = %3D y cos 34 = tan 34 = 34°

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Q: If sin(x +y) = xy, what is the correct expression for -? dx cos(x + y) – y (A х-1 cos(x + y) – y (B…

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Q: 20. sin? x cos? x dx

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Q: The following is equivalent to the choices below except | (tan (x)+ 1) dx 1 dx cos? (x) sec (x) dx…

A: Please refer the attached image for complete solution. THANK YOU.

Q: 3. * ... ... 35 21. Show work: trig ratio (sin, cos, or tan) of Z = = %3D trig ratio: =7' X =|

A: Given figure,

Q: If sin t = 3 and t is in the 2"d quadrant, then i) tant = ii) sec t =

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Q: Find sin(t) and cos(t) for the values of t whose terminal points are shown on the unit circle in the…

A: Given, t is terminal points on the unit circle shown in the figure. t increases in increment π6

Q: Evaluate va 3 cos a sin x dx. + C

A: To find: The value of integral ∫cosxsin3xdx. Formula used: The trigonometric relation is…

Q: 3. Mark was tasked with finding the exact value of tan(x+y) given that sin x = where -<x n and cos y…

A: Given that, sinx=725  and cosy=45

Q: Determine the measure of obtuse <D for each ratio. a) sin D = 0.45 b) cos D = - 0.21

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Q: S By an appropriate trigonometric substitution, S: I 1 √10 sin 0 cos² Ode Cos 0 10 sin 0 -do |…

A: Here we will use Trignometric sunstitution for given integral.

Q: a) S sin? x cos5 x dx

A: There are multiple question , as per company policy kindly ask other question separately.

Q: If sin t 3 and t is in the 2nd quadrant, then 5 i) tant = ii) sec t

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Q: 3) Given cos x =3/5 and sin y = −12/13 , with x and y in quadrant IV, find sin(x + y).

A: Given that,Find the sin(x+y)

Q: 4 pts Two angles, X and Y , are complementary. If cos(X)=, what is sin(Y) ? O not enough information…

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Q: S 16 sin?x cos?x dx x cos²x

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Q: 12) Evaluate sin2r cos(sin?s) d . |dx .

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Q: 22. Given that v3 cos x + sin x = R cos(x – 0), where R > 0 and 0 < 8 < , the values of R and tan 0…

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Q: 16. Complete the following table of signs: ө sin 0 cos e tan 0 cot 0 sec 0 csc e 0 < 0 < <A < : 2 Зл…

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Q: Find ton A and sin 0 Given: CoS 0- 2. and Sin OLO 3.

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Q: Given tan x = sin x < 0; cos y = csc y < 0, find sin(x-y) 3/5

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Q: B/ Find sec a, sin a, csc a, tan a and cot a, if a =. -1 V3 = COS 2

A: Given query is to find indicated trigonometric functions.

Q: 1. Evaluate: sin (x) cos? (x) dx.

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Q: a. Find 2 of the following. dx 1. y = cot? [sin (Tan-1

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Q: 2 and t is in the 2nd quadrant, then 6 If sint = i) tant = ii) sec t

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Q: B) If E-o(sin x)2" 2 tan x then find the value of x. 00 %3D

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Q: Given: csc x = -,PE Quadrant IV, tany y e Quadrant I. Find: sin(x - y), cos(x - y) and tan(x+ y)…

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Q: 6. What is value of y that is no y = sin-1 x? A. 0 С. B.

A: here we have to find the value of that is not in the range of the function y=sin-1x

Q: dx = ? 4 sin x – 3 cosx+5

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Q: S sin? x dx Evaluate 1+cos x

A: ∫sin2x1+cosxdx

Q: 7 - If æy + sin(e") + arcsin a = sin 1+ then what is the value of at (4, 0)? b) а) b) b. c) C d) d.…

A: Given: xy+siney2+sin-1x=sin1+π6

Q: D let cOs x ) and cos x lies below the x axis e Find sin(2x), cos(2x) and tan (ex). ) Proof the…

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Q: Given: sin 0 = where 90 < 0 < 180 %3D Find: tan 2/5 2 2.

A: Since, 90≤θ&lt;180So, cosθ will be negative.cosθ=-1-sin2θSubstitute…

Q: 7) Given y = Cos x and y = Cosx Fill in the table below. a = X Radians (플) (7) (号)| (2元) y3D Cosx X…

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Q: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…

A: a) Use the formulas  sin(A + B) and sin(A - B) for toshow that sin A cos B = 1/2 [sin(A - B)+ sin(A…