how to simplify tan(arcsin(x))?

Q: 4) Simplifying the Trigonometric ldentity tanx cosx

A: Explanation of the answer is as follows

Q: * If f(x) = (sin-'(4x + 7))', then f'(x) = Note: The inverse of sin(x) can be entered as arcsin(x)…

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Q: Simplify tan 0-sec²0|1.

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Q: 3. arcsin (sin )

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: How do you find arctan(tan^-1) of  the asolute value of the square root 3

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Q: Verify the identity by transforming the lefthand side into the right-hand side.

A: The given identity is, sin -x sec -x=-tan x. The objective is to verify the identity by transforming…

Q: Find all exact solutions to the equation arcsin(2x)+arccos(x) 6 X=

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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: Find The value of tan V3 - sec "(-2) |

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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: It is true that sin (3pi/2)=-1. Explain why arcsin (-1)≠(3pi/2)

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Q: express as an algebraic expression in terms of x. sin(arctan(x))

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Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

Q: what is the equivalent algebraic expression for the composition: tan(arcsin(x))

A: The given expression is,

Q: Verify the identity: (1 - tan x)/sin x = csc x - sec x

A: Given : 1-tanxsinx=cscx-secx

Q: How do i do basic arcsin/cos/tan/sec/csc/cot?

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Q: arcsin(sin 30 ) = 1 2 O1 O -1 O 30

A: Given:        arcsinsin30∘

Q: Evaluate arcsin (–1)   -0.8415     3π/2     - π/2     -7.8540

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Q: Solve. Sin[arccos(-2/3)+arcsin1/4]

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Q: Find the exact value of the expression whenever it is defined.arcsin 0

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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: How to graph sin(x) + sin(2x)?

A: Given: The objective is to plot graph for the function sin(x)+sin(2x).

Q: 3. sec-1 -tan

A: Given,

Q: tan(x²) D, secx

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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: Find a suitable substitution for evaluating ∫tan x sec2 x dx andexplain your choice.

A: we have to integrate the following integral using a suitable substitution. ∫tanx.sec2xdx

Q: tan x dx sec x+4 cosx 5.

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Q: 16. If 0 = arcsin x, express tan 0 in terms of x.

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Q: 1 2. - + tanx = tanx sinxcosx

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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: What is the exact value of tan(sec-"(-"),

A: This is a problem of the fundamentals of trigonometry. Based on the general formula we will answer…

Q: sec : tan/ sin :: cos :

A: As we know cos and sec are reciprocal of each other.  Therefore sec:tan/sin Then cos:sin/tan

Q: Find a formula for tan(arcsinx), for |x| < 1-

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Q: Use a sketch to find the exact value of the expression sec [sin-1 (-√2/ 2)]

A: Given: secsin-1-22 we know that sin-1-12=-π4                                        ..1

Q: S(sec; - sin) do

A: We know that integration power rule is  Integration of (xn) = xn+1/n+1.   Here i attached the…

Q: cos xdx 54-sin²x

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Q: Evaluate | sin2x tan (sinx)dx

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Q: Find the exact value of arcsin (sin Be sure to explain your answer.

A: Given , arcsinsin7π3=sin-1sin7π3We have to find the value of arcsinsin7π3we know that, sin-1sin θ=θ…

Q: Simplify 3 TT sin-(sinx) if TSXS 2 - -x- T ーX π-X x- π

A: Given, To solve  sin-1(sinx)  if π≤x≤3π2

Q: If tan(x+y) tan(x-y) = 1 then find the value of tanx

A: From the given data:

Q: tan x sin 2x 2([ ? ]([])?

A: Given,       tan x sin 2x

Q: Prove the identity. sec(-x)-sin(-x)tan(-x)=cosx

A: sec(-x)-sin(-x)tan(-x)=sec(x)-(-sin(x))(-tan(x))=sec(x)-sin(x)tan(x)

Q: What is the equivalent to sinθtanθcscθ for all values of θ for which sinθtanθcscθ is defined?

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Q: What is the exact value of tan(sin(-#))?

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

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Q: Sin(arctan(1/2)-arcsin(1/2))=

A: tan-1x=sin-1xx2+1

Q: Find sin 0 and tan 0 if the terminal side of 0 lies along the line y = -7x in QII. sin 0 = tan 0:

A: Given that terminal side of ϑ lies along the line y = -7x. Note that the slope of the line y = -7x…