1. Which of the following identities is not true? 7tana A. sin 2a 2 sina cos a B. cos Za cos-asin a C. cos 2a 2cos+1 D. tan2a 1-tan'a 2.Find the exact value ol sin 2x, given.cos.x D -nnd sinx 0. B. D. 4 C.

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/identity to be used islare cos²2x=1 – sin²2x…

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

Q: 2. Which of the following is not equal to 1: a. sin?x + cos²x b. sec?x – tan²x - c. csc?x – cot²x d.…

A: Given: The objective is to find which the options is not equal to 1.

Q: A4 to Select the TWO expressions that must be equivalent to cos A. tan 90 B. sin z sin y

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Q: EX-10 - Prove the following identities: a) Sin( A+B)+ Sin( A-B)= 2.SinA.CosB Sin( A+B) b) tan A+ tan…

A: Using trigonometric function

Q: 10) Verify that the equation is an Identity. UGe Tig lo uctie ehanga let oe 3 4 the gt lR. (tan2…

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Q: 11. Evaluate the exact value of each of the following trig e> a) tan-(-V3) b) sec (sin" (-))

A: Answer and explanation is given below

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: 2) What is the cos Z? Express fractions in the lowest terms. NO DECIMALS 40 Y 9. 41 Your answer 3)…

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Q: 3 5 3n If cos x = - 5 , where sin (x - y). , and cot y = 12 , where 2 determine the exact value of

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Q: V5 3 If cos(a)= and sin(B) = 풍 <a<nand 2 * <B <27, compute the exact value of the following: with 5…

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Q: 3. Which is equal to (sin a + cos a) +(sin r cos a) using identities? CO O 2 -2 О-1

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Q: 5. Which of the following quantities is undefined? (a) sin-'(-}) (b) cos-(2) (c) csc-() (d) csc-'(2)

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Q: Which of the following is equivalent to cos B(tan-ß + 1) for all values of B for wh cos B(tan-ß + 1)…

A:

Q: 2. To create an identity for the equation cos x( 1+cotx) = A, where A would need to be A. cos'x B.…

A:

Q: Which of the following is a value of tan 0 if V3cos 0 - sin 0 = v2? -V3 + 2 V2 + 3 O Option 1 O…

A: Given  3 cos θ - sin θ = 2 We have to find the value of tan θ.

Q: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

A:

Q: sin² e – cos e tan 0- cot e = sin e cos e

A: A) sin2θ-cos2θsin θ cosθ=sin2θsin θ cosθ-cos2θsin θ cosθ=sin θ cosθ-cos θsin θ =tan θ- cot θ

Q: То evaluate sin 2x cos 2xdx conveniently, the formula/ identity to be used islare 1- cos4x and 2…

A:

Q: 1 x in quadrant I, then find (without 3 If sin x = - finding x) : sin(2x) cos(2x) = tan(2x) =

A: Here we solve trigonometry problem

Q: Which of the following is equivalent (cos x + sin x)(cos x – sin x) 1. sin? 2x

A: We have to choose the equivalent to

Q: 37 where < < B <2r, find cos (a + B) 2 a<n and cos B = - where Given tan a =

A: We have cosα+β=cos α cos β - sin α sin β tan α=-43⇒cot α=-34⇒cosec  α=1+cot 2α=1+916=2516=±54sin…

Q: Determine the following: a) sin^-1(√2/2) b) cos^-1(-√2/2) c) cos^-1(tan(π/4)) d)…

A: Solution of the problem as follows

Q: 1. Consider the equation cos x tan x 1. sin x a) Show that it is true for x = 30°. b) Show that it…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

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Q: A3.-- LA = a/b * O cos cot sin sec tan

A: As per the instruction, we will be answering only the first question. For (3), Given:

Q: 3 7, x in quadrant I, then find (without finding x) : 4 If sin z sin(2x) cos(2r) tan(2a)

A:

Q: 14. Find the exact value of sin(-) if cos(r) 1 and 270° < x << 340°. ii) ii) - 2 iv) not listed

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Q: Which of the following give the value of tan z? tanh(-iz) 2iz +1 2. e2iz-1 e2iz 1 2iz +1 tanh(-iz)…

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Q: - 47T then 3 - If 0 : sin(0) = cos(0) = COS Give exact values. No decimals allowed!

A:

Q: 8. Verify the identity: 1- cos h sin? h h h(1 + cos h)

A: To verify:1-coshh = sin2hh1+coshUseful for the question:  sin2x + cos2x = 1a2 - b2 = a-ba+b

Q: 2-Find O for: y3tan? (cos x).

A: Using Chain rule we can solve the given derivative problem

Q: 24 where 25 3T < B < 2n , find If sin(a) = where 0 < a < 13 and cos(B) = 2 (b) cos(a – B) ( 1) tan…

A:

Q: 1. Determine the sign (+ or -) that yields the correct formula for the following -(sinx + cos x) =+…

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Q: Select the correct cos x and tanx for the figure below if sin x 13 tan x = 12 12 tan x = 13 12 COS x…

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Q: 37 Determine cos(2.4) given that tan A =-, where A<A<- 2. 1/3

A: Given: tan A=13 to find cos2A where π≤A≤3π2 The formula for cos2A=2cos2A-1 or cos2A=1-2sin2A or…

Q: Q#S() Prove the following identities sina – sinß a -B a +B (a). sina + sinß tan cot (b). cos20° +…

A: asinα-sinβsinα+sinβ=tanα-β2 cotα+β2b cos20° + cos100° +cos140°=0

Q: 1. Which of the following is not true? a. Sin?ø + Cos²Ø = 1 b. sin 6 = 2 sin 6 cos 6 c. 1- cot?x =…

A: These all are forms of                               "Trigonometric Identities".

Q: Find the exact value of each of the following under the given conditions. 2/85 0<a<2 5' ; cos B= 85…

A:

Q: Suppose that sin(a) = 4/5 and cos(b) =4/7 define in the first quadrant, determine tan(a+b). (round…

A: Given, sin(a) = 4/5 ------equation 1 cos(b) =4/7 ------equation 2

Q: 3 , x in quadrant I, then find (without finding x) 5 If cos x = - sin(2x) cos(2x) = tan(2x)

A:

Q: 2. If sin A = -35 with A in QIII and cos B = 5 13 with B in QIV, find the following. a. sin (A + B)…

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Q: ind on the error that can result if cos(x) is approximated by 1 - (x2/2!) + (x*/4!) o Enter answer…

A: Here we have to find an upper bound on the error that can result if cos(x) is approximated by…

Q: Evaluate: / tan( tan3x)dr cos?3x i -In |sec(tan3x)|+C A 3 В - In |cos(tan3x)|+C -In |sin(tan3x)|+C 3…

A:

Q: Which of the following is an identity? A. cos 4x = 4 cos x 2 sin 2r cos 2r D tan 3r 3 tan r B. sin(x…

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Q: Suppose cos 0 = V2 for some 0 between 0° and 90°. Find the 2 exact value of sec 0 and identify the…

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Q: 9. Use the appropriate identity to find the exact value of the trig function given that 5 sin a = 13…

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Q: Which of the following is true? @ Ssin°(x)cos°(x)dx = cos (x), cos®(x) cos1°(x) + C 10 + - 4 B All…

A: Given:

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.