Find sin(a) and cos(ß), tan(a) and cot(ß), and sec(a) and csc(B). 8 14 (a) sin(æ) and cos(ß) (b) tan(æ) and cot(ß) (c) sec(a) and csc(ß) CO

Q: Rewrite – 4 sin(r) + 4 cos(x) as A sin(x + ø) A = $ =

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Q: Rewrite – 2 sin(r) + 3 cos(x) as A sin(z + o) A = $ =

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Q: (b) f(x) = VI In(tan(9z)|)

A: We use d/dx ofuv=udv/dx+vdu/dx and solve it.

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

Q: tan²(z) cos³(z)dæ

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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: Rewrite cos ( x in terms of sin(x) and cos(x) 3 -

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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: Q4/ Find the value of the following: cos (tan-1 1) 1) sin (sin-) 2) 3) tan - (cos n) 4) cos(sin)

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Q: Find the value of the number C: 1/2 cos2 x + C = - 1/4 cos(2x)

A: The given expression is12cos2x + C = -14cos(2x)       ......(1)We know that cos(2x) = 2cos2x-1.…

Q: Find the values sin2X, cos2X, and tan2Xfor the given value of X, cotX = 4/3; 180o < X < 270o

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Q: What is (cos x + x) dx? O-½ sin²x + x²/2 + C ○ -sin x + x²/2 + C O sin x + x²/2 + C O. ½ sin²x +…

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Q: An equivalent expression to sin(-x) is: Oa) - sin(-x) b) sin(x) Oc) - sin(x) d) cos(x)

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

A: Given: ∫cos2xsin4xdx

Q: Evaluate sin2(x) cos*(x) xdx 32 C. 32 A. 32 в. D. 32 O A В

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Q: Rewrite 1 sin(x)+ 2 cos(x) as A sin(x + 4) %3D Note: o should be in the interval-T <¢ < II

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Q: 2T Rewrite cos x + 3 in terms of sin(x) and cos(x)

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Q: Rewrite – 4 sin(x) – 5 cos(x) as A sin(x + ø) A = $ =

A: Given the trigonometry function

Q: /2 sin aVT-2 cos r dr /3

A: To find the given integration

Q: Rewrite cos x in terms of sin(x) and cos(x) -

A: Trigonometry problem...

Q: 3. Find y' for y = cos(sin² x)

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

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: Find tan 5, given that tan x = 3 and t<x< 2 10 +1 O A. 10-1 OB. V10 - 1 Oc. V10 + 1 OD. 3. 3. 3.

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Q: Q5. Evaluate the expressions: x² + 4 1. sin sec 2. cos ( sin

A: Using Pythagoras theorem we calculate the given expression.

Q: Rewrite sin (z + in terms of sin(x) and cos(x)

A: Recall:  sin(A+B)=sin A cos B+sin B cos A We have, A=x, B=π3

Q: What is the value of x? √2 cosx-1=0 2sin3x+1=0

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Q: Rewrite cos ( x in terms of sin(æ) and cos(x). 4 -

A: we know that cos(a-b)=cosa cosb+sina sinb

Q: tan x e За. et 3b. cos“ x e* -7

A: PART A- Concept Used: secx=1cosx We want to evaluate ∫etanxcos2xdx Calculation:…

Q: l side of θ lies along the lin

A: we have to find sin θ and cos θ if the terminal side of θ lies along the line y = 4x in QI

Q: Sz sin?m-10 cos2n-10 = – B(m,n) В (т,п)

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Q: 2. Evaluate x sin x cos xdx.

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Q: b. use tand=-1 d. cusd- e. f. sin--

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Q: b) Explain how you would find sin" x cos" x dx if i) m is odd and positive, n is odd and positive,…

A: Solutions

Q: Next Rewrite 5 sin(x) +2 cos(x) A sin(x + 4) as A = Note: o should be in the interval -T < O < T II…

A: sin(A+B) = sin(A) cos(B) + cos(A) sin(B)

Q: Evaluate: x?sin2x dx A - 2x?cos2x+2xsin2x - cos2x +C 4 2x?cos2x - 2xsin2x+ cos2x -+C B 4 2x?cos2x +…

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Q: Using a suitable substitution, (sin x cos“ x) dx can be 4 (A) - f u*du (B)

A: Given: ∫0π2sinxcos4xdx

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

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Q: az Q1: Find ду if you know that: z = x³ y? tan(x-2e*y*)?

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Q: (4x-) What is Y*? 2 Let Y = cos ( 4X

A: Step 1: Consider the given function:

Q: V125 cos j sin 11 11 1. Simplify Expr cos 11 + jsin

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Q: usuan COS -4 <xS 4 fx(x) = {16 elsewhere Find E [X2]

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Q: 5.) Select which ratios are equal to cos(x). A XO to C a. sin(y) b. sin(90-x) c. cos(90-x) d.…

A: We need to find which ratio is equal to cos(x)

Q: Write the expression as an algebraic expressionin x for x>0. a.  sec [sin-1 (x/sqroot(x2+9))]

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Rewrite cos(x−3π/4)in terms of sin(x) and cos(x).

A: According to trignometry identity Cos(a-b) = Cosa Cosb +Sina SinbCos(π-θ) = - CosθSin(π-θ) = Sin θ

Q: 3 Evaluate COs x sin æ dx. sin*(x) X + C

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