If sinh x =tan t, 0

Q: For Excrcises 9–12, solve the cquation over the interval [0, 27). V3 V3 b. cosa = 9. a. sin 0 2 b.…

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

Q: Please solve a question on hyperbolic functions.

A: Let us first find x + iy and its complex conjugate x – iy. Complex conjugate can be found by…

Q: If f(x) = 3 tan¯¹(6 sin(4x)), f(z) = Question Help: Video

A: Given that fx=3tan-16sin4xTo find :Derivative of fxSolution…

Q: Prove the following Sin hZ=0

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Q: Given that tan² O +1 00|m O ± IN 11 8 000 = 100 8S 3 8, what is the value of sec e?

A: I have stated the used formula in the solution.

Q: 9. Given that sin A= 5 , where OCA<II, and tan B = -4, and tan B= 4 2. %3D 3. where 3 TT <B <2 Tl,…

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Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

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Q: 3. e<4TI. 2. ind 3. where when tan e = -

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Q: 3. Which expression is equal to tan z SAP cot a rer m using identities?

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Q: If cos e = V2 and n <0< 2T, what are the values of sin O and tan 0? 2 O sin e = tan O = -1 O sin e =…

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

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Q: Let x be real, what is the value of sin(2Cot^−1(1+x))

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Q: If sin a: 1 then sec a =?

A: We can solve this by using trigonometric identities . We can use the identity sin2α+cos2α=1 . By…

Q: If csc(x) = 9, for 90° < x < 180°, then sin (5) = 0.9985 2 (금) CoS 0.0556 tan(5) ||

A: Use pythagorous theorem and half angle formula

Q: 3. Prove that the identity is true. sin*t - costt tan-t– 1 cos't

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

Q: If tan ☺ =3, T e<3T Find the exact att valce AJ sin 6

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Q: ve the following identities! no tan 0 sec 0 cosec e cos e 1+cos e

A: Please refer to the image below

Q: In Exercis express the given quantity in terms of sin x and cos x.

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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: Given sin x + cos x = 1, find x for the interval 0 O n/2

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Q: tan 5, given sin 0: 3 270° <0 < 360° 5

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Q: Given ∆JKL, sin K= , cos K = , tan K = \

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Q: Find tan(s+t) given that sins=1/4 with s in Q2, and sin t= -1/2 with t in QIV

A: To find tan(s+t).The formula for find  tan(s+t).

Q: 2. Which expression is equal to sec a sin x cot x+tan x using identities? O sin? x O cos? x O- cos?…

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Q: Verify the following identities: sin 20 – tan 0 tan 0 cos 20

A: Solved below

Q: Suppose that Cos t = whe re a.) what is the exact value of sin t? b.) what is the exact value of tan…

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Q: 0000 Which is equivalent to 2. ? Select all that apply. A. sin 30° N B. sin 45° C. cos 45° E. tan…

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Q: If S(x) = - cos(x), then s ()(x) is equal to A – sin(x) - cos(x) В sin(x) cos(x)

A: Since you have asked multiple question,as per our guidelines we are supposed to answer only one…

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: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

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Q: The numerical value of sinh(In 3) is equal to Select one: a. False b. True

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Q: If csc(e) 13 and 90° < 0 s 180° , then the exact simplified value of 12 Hint sin(0) = %3D cos(0) =…

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Q: If sinh z = , then cosh z is Select one: a. b. C.- d.

A: Recall: cosh2x - sinh2x = 1

Q: If Sin A=5/13 with A in QII, then find sec A/2

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

A: Given sinx=-12, where x∈π,3π2. Since, x lies in third quadrant, so cosine function will be negative…

Q: Given tan A = -% and cos A < 0, determine sin A. O 4/5 O 3/5 O -3/5 O -4/5

A: Let's find.

Q: If sin A = 3/ 4with A in QII, find cos A.

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Q: 17) Prove the following: a) (sin x)(sec x)(cot x) 1

A: Since secx=1cosx  and cotx=cosxsinx Then LHS =  sinxsecxcotx=sinx1cosxcosxsinx

Q: Match the equivalent expressions. o tan(x) O cot(x) o sec (x) O 1– cos (x) a. sin"(x) + cos (x) b.…

A: topic - trigonometric identities

Q: (9) Verify the following (a) cos e + sin 0 tan e = sec e %3D

A: As per guidelines we can answer only one question at a time, so if you need more answer kindly…

Q: The numerical value of sinh(n 3) is equal to Select one: a. False O b. True

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Q: If π<t<3π2, which of the following is true?

A: It is given that π&lt;t&lt;3π2. So, t lies in third quadrant.

Q: What is the approximate value of tan (3)? O-3.078 O 0.033 O 1.083 O2.468

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Q: If 0 = tan¬1 (-) and 0 < 0 < 180°, which of the (우), following is equivalent to sin 0? O V3/2 -V3/2…

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Q: Suppose s is a real number such that sin s = - and cos s > 0. Find cos s

A: Given                     sin(s)=-35  and cos(s)&gt;0…

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: Prove that: (1 – sin? x)(1 + tan? x) = 1

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Q: 2. Which of the following intervals describes where sin(sin x) =x? Choose the correct answer below.…

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Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.