da making the trigonometric substitution z = 3 sec 6. which does the ie COs O cos e do sin? e cos? 0 de sin 0 cos 0 sin? e de COS cos 0 d0 sin? e 1 COS ) do 7 Cos de sec A cos 0 COS

Q: sin A + cos A * cot A = csc(A)

A: Write cotA using sin and cos

Q: V5 T Ise the information given about the angle 0, cos 0 = - - 4 <0<n, to find the exact values of…

A: Please refer to the image below

Q: The figure shows right triangle XY Z. 34 30 16 Which of the following equations represents sin X,…

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Q: A+B+C = 180° then Sin At SinB+ Sin C = cotA cot B Sin A+ SinB Sin C 2. show that.

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Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

Q: gonometric functions of the real number t.   35/37, 12/37 sin t=    csc t=   cos t=

A: The terminal point P(x , y) determined by a real number t is given   3537 , 1237The coordinates of…

Q: Solve the (r + sine – cose)dr + r(sine + cos®)de = 0. A r? + r (sine + cose) = c Br2 + 2r (sine –…

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Q: Evaluate the trigonometric function below from y = 2 up to y = 3. [(y) (csc 3y ((y) (csc 3y²) (cot…

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Q: 2+m?+n?=cos?a+cos?B+cos?y A + A + A %3D 1 +. or sin'a + sin? B + sin*y =2

A: Let PB⊥OY, PA⊥OX, PC⊥OZ   Let OA=Ax, OB=Ay, OC=Az Let direction cosine are l, m, n here…

Q: A C In right triangle ABC , mZB7 m2C. Let sin B =r and cos B = s. What is sin C - cos C? A) S – T

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Q: If cos t = – and t is in the 3rd quadrant, then sin t V45 7 V45 7 /53 7 V45 2 V45 2

A: We have to find the value of sin t if t is in third quadrant and cos t=-27. We know the identity,…

Q: A C In right triangle ABC, m Z B+m Z C. Let sin B =r and cos B = S. What is sin C- cos C? O Ar+s O…

A: To find the sinC-cosC

Q: Using a trigonometric substitution, the integral dz becomes: 2+25 (a) 25 (tan 0) (sec 0) de (b) 5 /…

A:

Q: that the left hand side of the equation is equivalent the right hand side. Cos a csc z = cot?z tan…

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Q: f. cot(0) + csc(8) = [(cos(theta)-1)/sin(theta)

A:

Q: COS U- Sin? EStablish the identity Cas?U left Side term secu in terms of sec Ucos U-sin?u=COSU A)…

A:

Q: 45 27 Y 36 z What is the cos X of the triangle above? What is the cos Y of the triangle above?

A: From trianglecosX = adjacenthypotenuse         = XZXY          = 2745           =35 ⇒ cosX =35

Q: e sin (e^) cos" (e*) c 6. COS

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Q: Find the measure of the given angle when given the value of one of its function. 1. Tan X = 7.22345…

A: We have to find the given angle measure in radians and degrees by using inverse trigonometric…

Q: C: Proof that (Answer one only) a)L (cos?t- sin?t) = %3D s2 +36

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Q: tan z cos a 1 -dr = cos? z O a. sin a - sec" r +C O b. cos? z 1+ C O C. sec a tan a + C O d. – tan a…

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Q: Show correct answer from the multiple choice options.

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Q: Find the exact value of the trigonometric expression given that sin(u) = - sin(u + v) Need Help?…

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Q: What is the trigonometric form of equation A = 40 e j 120⁰ O 34.64 -20 j 40 (cos120 + j sin 120)…

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Q: I. Fill in the blanks with the appropriate trigonometric term. 1. 2. 1 sin e tan 0 = cos e 4. 2+1=…

A: Trignometric ratios and identities problem.....

Q: cosec A/sec A = ? Select one: O a. sin A + cos A O b. tan A O C. cot A O d. cos A

A: Select one

Q: Find the exact value of the trigonometric expression given that sin(u) 15 where 37t/2 <u< 27t, and…

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Q: Detemine the value OF C IF X=1-co2 and y =1.B9 when you evaeuate Scot"(2x)dx. Cure radiar form Of…

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Q: (a) Use trigonometric substitution to verify that 1 | Va? – t2 dt = ;a? sin-1 + (b) Use the figure…

A: Proving the integral using trigonometric substitution

Q: A +A; + A; (JA? +A; + A;) (+m²+n?=cos'a+cos?B+cos?y =D1 %D or sin'a + sin? B sin'y =2

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Q: 15 cm not to scale Ina RST, cos R=.What is sin T? CoS O A 3 5. B C 3 4 D. 45

A: we have to find the value of sinT from the given figure

Q: sin (a+ B) こIt cot d ton B %3D COS& Cos B

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Q: sec a-1 If sec r+1 A-cos r %3D B+cos a what is the value of (A B)??

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Q: If cos t =- and t is in the 3rd quadrant, then sin t = V45 O V53 V45 V45 V45

A: In third quarternt sine and cosine both are nagetive.

Q: D^n/dx^n (e^(ax)sinbx) = r^(n)e^(ax)sin(bx +theta) when a and b are pos numbers, r^2= a^2 + b^2,…

A: Let y = eax sin bx Differentiating the above equation with respect to x we get, dydx=y1=aeax(sin…

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: By using trigonometry identity tanA = sinA / cos A Cosec A= 1/ sin A We get

Q: Find the exact value of cos(A- B) under the given conditions: [ 4 sin A = V5 Зп TT < A « 2. ta 5 TR…

A: We have

Q: Sin A + Sin B = a and cosA+ Cos B = b %3D then. CoS A-B + Ja?-b? show that- 1) 2. 2.

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Q: Find an angle for the following co-function. 42) Sin (0 + 15)° = cos (20 + 30)° 42. A) 0 = 45 B) 0 =…

A: Explanation: Given that: sinθ+15°=cos2θ+30° Concept: cosθ=sin90°-θ

Q: Q:Prove the following trigonometric identities: 0(1-sir'e) Sec'e =1 (i)cos'e(1+ tan'e) = 1.

A: (i).    The given identity is:   1-sin2θsec2θ=1

Q: 8. In right triangle PQR, PQ = 12 and QR = 5 cm. What is cos R? a. 12/13 b. 5/13 c. 5/12 d. 12/5

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Q: Assume a i gle in standard position whose terminal ang A side contains the point (5,-5) s to glpas…

A: The angle is in the 4th quadrant . Now find the length of the hypotenuse using the Pythagorean…

Q: The coordinates of C are (0.96, 0.28). What are cos(A) and sin(A) ? Explain how you know. y .5 1 A…

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Q: the cosine of a sum and cosine of a difference identities to find cos (s + t) and co V3 and sint= 6…

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Q: Which of the following statement is always true? A All of the above choices a, b and c. B For all x…

A: Let's find.

Q: Find the exact value of the trigonometric expression given that sin(u) = . where 31/2 < u < 2n, and…

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Q: B C A In right triangle ABC ,mLB + m2C. Let sin B =r and cos B = s. What is sin C – cos C? Ar+s B)r…

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Q: C A In right triangle ABC, m Z B+ mZ C. Let sin B =r and cos B = s. What is sin C- cos C? O A S-r O…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.