simplify  tan(cos^-1(x))

Q: Express cos(tan-(2x + 3)) in an algebraic form.

A:

Q: 5. Simplify. tanx (cscx - sin x)

A: The given expression is tanxcscx-sinx. We have to simplify the given expression. Here we use the…

Q: if sinx+cosx=1/2,what is the exact value of sin2x

A:

Q: Verify the identity : 1-cosx sinx = 2 csc x sinx 1– COsx 2.

A: Given- 1-cosxsinx+sinx1-cosx=2cscx To verify- The above identity. Identity Used- sin2x=1-cos2x

Q: (sing -Cosx)=1-Sinx COSX 2.

A:

Q: Verify that (sinx-cosx)2=1-sin(2x)

A:

Q: csc(sec-1 2) + cos(tan-(-v3).

A: Given data:     The expression for the given function is: csc(sec-12)+cos(tan-1(-31⁄2).   The given…

Q: How would I simplify secx-cosx/sinx?

A:

Q: Verify the identity. (Simplify at each step.) 2 cos² B - 2 sin² ß = 2-4 sin² B 2 cos² B-2 sin² B =…

A: The given identity, 2cos2β-2sin2β=2-4sin2β

Q: How would I simplify (1-sin2x)secx?

A:

Q: Compute without using a calculator.

A: To evaluate: sin-1sin-5π6 Solution: We know that, sin-x=-sinx and sin-1-x=-sin-1x Evaluating the…

Q: Simplify sin x (1-cosx)(1+cosx)

A:

Q: sin x 5 2 0, cos x

A:

Q: Find the possible values of x in |coshx -sinhx| = 2 Isinhx coshx

A: Given,           coshx-sinhxsinhxcoshx=2

Q: if sin= -2/3 find csc ?.

A: We have to find value

Q: how to solve cos(arcsin[3/5])

A:

Q: IF 3 TANQ = 3SINQ FIND THE VALUE OF SIN²Q - COS²Q.

A:

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

A:

Q: Verify that the equation is an identity. cos 2x = COS X - Sin x tan x CoS X To verify the identity,…

A: Using trigonometric formula, we verify

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

A:

Q: How can I find tan inverse of 3/2 or any number larger than 1 without a calculator?

A: We have to find value of arctanx,any value of x which is greater than 1.

Q: Is Cscx-1/1-Sinx=cscx

A:

Q: Evaluate sin [tan−1(2) + sin−1(3/5)] without using a calculator.

A: Solve the following

Q: So inverse sine would be a/2 not square root of x^2-64/x.

A:

Q: Explain how to find the value of cos( - 45°) using even–odd properties.

A: We have to find the value of cos( - 45°).

Q: Find given - cosx sinz

A:

Q: solve equation sin2theta = -cos2theta

A: Calculation:The given trigonometric equation is sin2(θ) = – cos(2θ).Solve the above equation as…

Q: How do I simplify cscx-cos(-x)cotx?

A:

Q: Evaluate: " sin' (-) Cos3 dx

A:

Q: Express sin 2θ in terms of x = sin θ.

A:

Q: Evaluate sin (3x) dax

A:

Q: How do I simplify 1+cotx/sinx+cosx?

A:

Q: Find sin ⍬.  Sec ⍬ = 3/2, tan ⍬ &lt; 0

A: The given equation is

Q: The expression (1 -sinx) / (cosx) is equal to

A:

Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below

Q: If cosθ>0 and tan θ= -2/3, find secθ + tanθ/ secθ - tanθ

A: Consider the trigonometric functions: tan θ=-23……1cos θ&gt;0……2

Q: Evaluate without using a calculator or tables.  sin (arcsin 3/5)

A: Let the given value be y - y = sinarcsin35y = sinsin-135y = 35Because using, sinsin-1x = x

Q: Evaluate sin2xlogtanx dx

A: Given:  Let I=∫0π2 sin2xlogtan x dx To Find: To evaluate the given integral.

Q: find cot [sin^-1(-2/5)]

A:

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: how to simplify tan(arcsin(x))?

A: Start with:

Q: Please prove identity by transforming the left side into the right side: (1+secx)(1-cosx) = (tan^2…

A:

Q: verify cosx/(secx sinx) = cscx - sinx

A:

Q: evaluate without a calculator: sin(arcsin(2))

A: given,      sinsin-12

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

A:

Q: Express cos(tan-1(2x + 3)) in an algebraic form.

A: Given costan−12x+3 We have to write costan−12x+3 in an algebraic form. Let θ=tan−12x+3…

Q: please show all steps of how to verify identity  (1-cosx)/(sinx)   +   (sinx)/(1-cosx)  = 2cscx

A:

Q: 9. Simplify. sin-cos -

A: Simplify

Q: 6 arcsin(sin 40 ) = _____. -40° -220° 40° 220°

A: Solve the following

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.