What is the definition of tan(x)? In other words, write tan(x) as a quotient of two trig functions we'ye discussed

Q: Simplify tan 0-sec²0|1.

A:

Q: Reduce sin 0 to an expression involving only function of multiples of 0, raised to the first power.

A: Given, sin4θ  We have to reduce sin4θ to an expression involving only function of multiples of θ,…

Q: tan(t) Simplify sec(t) – cos(t) to a single trig function.

A:

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: Use a trigonometric identity to show that the derivatives of the inverse cotangent and inverse…

A: To show: The derivatives of the inverse cotangent and inverse cosecant differ from the derivatives…

Q: Evaluate ∫tan4 x sec4 x dx.

A: Using the Pythagorean identity we get:

Q: If you need to review them, here is a link to the DQ Instructions. Show and briefly explain your…

A:

Q: Use a calculator to solve the equation tan x = -5, correct to four decimal places, on the interval…

A: the given equation is tanx=-5. we have to find the solution of the given equation on the interval…

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

A:

Q: e of sec(tan-1 square

A: We know,      tan-1(3)=π3    sec(π3)=2

Q: Evaluate tan" (32) sec"(3e) dz. sec" (Зa) da.

A: Here we integrate using substitution method.

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

A:

Q: 3. sec-1 -tan- 4

A: Given: sec-1(-tan3π4)

Q: Graph the equation for values of x between 0 and 720 In multiples of 30. y =5 sin(x)

A: Period of y=5sin(x) is 360 degree So between 0 to 720 degree, there are 720/360= 2 periods So we…

Q: Find the derivative of tan−¹(x).If you use the identity 1 + tan²(x) = sec²(x), you can write the…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: fx=ln1+sin2x ,  π4, ln32 Differentiating with respect to x, we get f/x=11+sin2x·d1+sin2xdx…

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: Find an equivalent expression for sin 4x in terms of function values x sin 4x =

A: power series of f(x) about x =a is  f(x) = ∑h=0∞ fn(a)n! (x-a)n ------- (*)

Q: 86. Use the quotient rule and the derivatives of the sine and cosine functions to prove that (cotx)…

A: prove that ddx(cot x) = - csc2x

Q: Why are different intervals used when restricting the domains of the sine and cosine functions in…

A: Why are different intervals used when restricting the domains ofthe sine and cosine functions in the…

Q: If x = 4 tan 8, express sin 0 in terms of A.

A: Trigonometric identities help to write the given expression in the terms of the sine function.…

Q: 6. sin(tan¬1 x)

A: Use inverse trigonometric method

Q: If x=2 tan θ ,express sin(2θ)as a function of x.

A:

Q: Give 2 examples on Evaluating Inverse Trig Functions using Sin difference Identities

A: Topic :- trigonometry

Q: 3. sec-1 -tan

A: Given,

Q: tan(x²) D, secx

A:

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: 7.6, #1 Find the exact value of the expression whenever it is defined. sin- (-) = b. tan-(-V3) =

A:

Q: 49. Write tan x in terms of sec x.

A:

Q: Why is cos(sin^-1(x)) equal to sqrt(1-x^2)?

A:

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

A:

Q: Express the value of the trigonometric function tan⁡(π-3i) in terms of x+yi.

A:

Q: I am very confused about this concept. Any help would be great.   Thanks much.

A: Given expression is Let Plugging the value in the expression:

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: Evaluate tan° (x) sec* (x)dx in the two different ways indicated.

A:

Q: 1. Simplify tan(x) sec(x) to a single trig function.

A:

Q: Suppose that tan(x)csc(x)=1/f(x) Write f(x) in terms of sin⁡(x) and cos⁡(x).

A:

Q: Prove the identity. tan x tan sec x + 1 2.

A:

Q: Use a calculator to solve the equation tan x = -3, correct to four decimal places, on the interval…

A: Given- tanx=-3 To find- The solution of the above trigonometric expression correct to four decimal…

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

A:

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

A:

Q: Evaluate tan (8x) sec*(8x) dx.

A:

Q: tan(sin'x) is ... The simplify of

A: Given expression is Let us suppose Now, Therefore,

Q: If y = -sin x, what x-value corresponds to a y-value of -1 between 0 and 27? 2 -1 ?

A:

Q: Find tan 0 if sin 0 = 3/4 and 0 terminates in QI. tan 0 =

A:

Q: Given tan^2(square root x)find f’(x)

A:

Q: By using the addition formula derive the identity of the function sin (x -), then choose the correct…

A: Addition formula for sin is…