limit Sin @2@) 0so ton Cs0)

Q: Find the exact value of sin(-5π/8). Show work

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Q: Verify (tan x + cot x)(cos x + sin x) = cscx + sec x sin* x – cos“ x = sin? x - cos? x

A: Given that prove tanx+cotxsinx+cosx=cscx+secx   And sin4x-cos4x=sin2x-cos2x

Q: If x = ln ( sec x + tan x) , show that sec x = cosh x

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Q: Give 5 example of integration of trigonometric functions with solution

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Q: Prove the identity. sinx 1. cotx 1-cosx sinx

A: 1 - sin2x = cos2x

Q: tan x sin 3x lim X-→ 3. sec cot 2x

A: To  find:-

Q: 11.) cos os (sin-1 -tan-1%) 12.) tan (arccos %- arcsin (-12/13))

A:

Q: Show that  arctan(sinh x) = arcsin(tanh x).

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Q: 2. Sinx- Cosh

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Q: [tan (x)sec (x)dx cot (x)csc°(x)dx sin (x)cos (x)dx

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Q: sin (x) – cos²(x) Show that 1 F COS %3D CSC (x)

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Q: 4. 1 + tanx 1- sinx

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Q: sin( sec (x/10)) = %3D

A: The expression is sin(sec-1x/10)

Q: 2. Explain why arcsin(sin(0)) = 0 but arcsin(sin(807)) # 807

A: Concept  arcsin(sin x) = x   is true  only when x lie in the interval [-π/2 , π/2]

Q: sin40 Prove 8cos 0 – 4cos0, show preliminaries to perform sino

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Q: Prove the identity. sin x+ 2. = cotx sin (n-x)

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Q: If tan x = 3, cos x > 0, , then - sin 2x cos 2x tan 2x %3D

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Q: Use the knowledge of the Mean Value Theorem to prove the trigonometric identity x – 1 arcsin 2…

A: In order to prove the identity, we need to consider a function and by using mean value theorem we…

Q: 1 + sin x 85. 1 - sin x (tan x + sec x)² %3D ton

A: 85. To prove that (1 + sinx)/(1 - sinx) = (tanx + secx)2

Q: Prove the identity  cscA-sinA = cotAcosA

A: Given,        cscA-sinA = cotAcosA

Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

A:

Q: 1-cotx Verify the identity = 1- sin 2x CSC X

A: 1-cot xcsc x2=1-sin2x L.H.S=1-cot xcsc x2        =(1-cot x)2csc2x= 1+cot2x-2cotxcsc2x=…

Q: arctan(−1)= arccsc(csc(5π/2))= sec−1(−tan(3π/4))= tan(cos−1(−7/12))= sec−1(−1)=…

A: arc tan(-x) =-arc tan(x) arc csc(csc(x)) =x Note : According to our guideline, we can solve first…

Q: cosx tanx In(1+x)

A: Write the power series in sigma notation and in expanded form

Q: If cosx = -2/3 and tanx < 0, then sin(x)= tan(x)=

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Q: tan x + sin x Express in terms of cosine cSC x + cotx only

A: Given expression: tan x+sin xcsc x+cot x

Q: Prove the identity. sin(-0) sec(-0) cot(-0) = 1

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Q: Show that cos( arctan( sin( arccot(x)))) = sqrt{{x^2+1}/{x^2+2}}

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Q: 2. Verify: sin x+tan x %3D sin2x sec x cscx+cotx

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Q: If  arcsin(x) = 1.25  then  arcsin(-x) = ?

A: It is given that, arcsin x=1.25 Take sine of both sides: sin arcsin x=sin 1.25 Result: sin arcsin…

Q: If x= ln (sec θ +tan θ) , show that sec θ = cosh x .

A: It is given that  x= ln (sec θ +tan θ)

Q: 5) [ Arc sin- xdx

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

Q: a) Use suitable sum and difference identities for hyperbolic functions to show that sinh(5x)…

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Q: tan x csc x-tan x sin x tan +cos x cos? Prove = COS s“ x csc x Show all work to receive credit

A: We have to prove

Q: tan x 3. = sin x %3D secx

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Prove the identity. csc (-x) – sin (-x) = cosx cotx

A:

Q: 2) sec tan 4

A: Solution: The objective is to find the required value

Q: Prove (Start either from the LHS or the RHS but DO NOT work from both sides at the same tim 3. Prove…

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Q: = arctonx In 1-x

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Q: Integral of tan^5(x) dx Show Complete solution

A: This is a problem of differentiation. By general formula we will solve the question. Assume, secx =…

Q: Find sin(x/2) =  cos(x/2) =  tan(x/2) =  Given tan(x) = 2sqrt2    0 degrees < x< 90 degrees

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Q: 6) Verify tan x + cot x = sin(2x)

A: Simplification

Q: • tan xcos x = cotx %3D cScx • (1- sinx)[1+ sin(-x)] = •csc?x - cot2x =

A: We need to simplify the given trigonometric expressions.

Q: Prove that = tan 0 + cot 0 (cosec 0-sin 6)(sec 0-cos 0)

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Q: |- Sin X Cot X Cosx SinX -

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Q: 5 li sin lax tan 4x

A: Given query is to find the limit of the expression

Q: tan 0+ sece- 1_ 1+ sin0 cos 0 Show that tan0-sec0+1

A: Given the trigonometric equation (identity) is: tanθ+secθ-1tanθ-secθ+1=1+sinθcosθ To show that, the…

Q: Prove the identity Sinx/1-cosx=secx+1/tanx

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Q: cosx-sin² x cot2 x· secx - 1 = sin? x

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.