Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the final expression

Q: write an expression that give all solution to the following equation  sinx=1/2

A: Given; Sinx=1/2.

Q: Perform the indicated operations and simplify 1 /1+ cosx + 1 /1- cosx

A: Given expression is 11+cos(x)+11-cos(x) taking the LCM of the given expression , we get

Q: 16. cos 18° COS

A:

Q: Write each expression in terms of sines and/or cosines and then simplify.

A:

Q: Evaluate the expression without using a calculator and write your answer in radians.…

A: Given expression is sin-132 Simplifying the given expression: sin-132=sin-1sinπ3=π3=3.143=1.04…

Q: Write 1 2 sin? (7x) as a single trig function, simplifying as much as possible.

A: Given 1-2sin2(7x)We know that cos(2θ)=1-2sin2(θ) and here θ=7x⇒cos(2*7x)

Q: without

A: Sine function is negative in 3rd and 4th quadrant. Sin(π+x)=Sin(2π-x)=-Sinx

Q: Write the expression as a product. Simplify your answe sin 3x– sin 5.x=

A:

Q: Evaluate sin (2r)dr

A: From formula Sin 3x = 3 Sin x - 4 Sin3 x - 4 Sin3 x = Sin 3x - 3 Sin x multiplying - both side 4…

Q: Write 2 cos(4x) sin(4x) as a single trig function, simplifying as much as possible.

A:

Q: Write the expression in terms of sine only. 5(sin(2x) – cos(2x))

A:

Q: Write an equivalent expression for cos4 θ that does not involve any powers of sine or cosine greater…

A: Write an equivalent expression for cos4θ that does not involve any powers of sine or cosine greater…

Q: From the list below find the expression equivalent to sin9x

A: see 2nd step

Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the…

A: Write csc x= 1/sin x using reciprocal property.

Q: Write 10 cos 5x sin 3x as a sum or difference.

A:

Q: 5. cos 73° COS

A:

Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the…

A: Given,

Q: Simplify and write in terms of sine and cosine: (1-cos y)(1+cos y)= f(y)2

A:

Q: Use the triangle method to simplify sin 2sec-1 2

A:

Q: Find the exact value of the expression Sin 310°csc(-50°)

A: Given,

Q: Evaluate the expression without using a calculator and write your answer in radians. sin^-1(- √3/2)…

A:

Q: Solve for all possible values in radians.

A:

Q: Evaluate the expression without using a calculator. sin-() 1

A:

Q: -write sin*6X in terms of the first power of cosine.

A: We have rewrite sin4(6x) in terms of first power of cosine.

Q: Write csc θ tan θ in terms of sin θ and cos θ

A: cosec θ  tan θ interms of sinθ:                                   cosec θ = 1sin…

Q: Write the expression in terms of sine and cosine, and simplify so that no quotients appear in the…

A: Given information:

Q: 10. sin 81°

A:

Q: Rewrite the expression tan x csc x cos x by changing to sines and cosines. Then simplify the…

A: Given expression is tanxcscxcosx.

Q: rewrite

A:

Q: Write the expression as a single trigonometric fund cos 2x cos 8x - sin 2x sin 8x

A: We have the expression as cos 2x cos 8x -sin 2x sin 8x

Q: Write sin a +sin b as a product using only sine and cosine.

A: Given, sina+sinb

Q: Evaluate each expression without using a calculator and write your answer in radians.   sin -1…

A: We have to find the exact value of the expression: sin-1 12 We know that sin-1 sin x=x where x∈-π2,…

Q: Simplify and write the expression in terms of sine and cosine (2+tan2x)/(sec2x)-1 = (f(x))2

A:

Q: Write the expression in terms of sine and​ cosine, and then simplify so that no quotients appear in…

A: Given, 1-cosecx1+sinx…

Q: Write each expression in terms of sine and cosine, and then simplify so csc 2(-0) - 1 1- cos 2(-0)…

A: Csc(x) =1/sin(x) and 1-sin2x=cos2x

Q: Explain the formula of Cofactor.

A:

Q: 9. sin 37°

A:

Q: 13. cos 59°

A: Use ist quadrant

Q: 2 12. cos-

A:

Q: 14. cos 42°

A:

Q: Write sin(4π/3) in terms of the sine of a positive acute angle.

A: Given, sin4π3

Q: Write the expression in terms of sine only. sin(3x)+cos(3x)

A:

Q: simplify and write the expression in terms of sine and cosine: (cosu secu/tanu)=f(u)/g(u)

A:

Q: Write the expression in terms of sine and​ cosine, and then simplify so that no quotients appear in…

A:

Q: Write the expression in algebraic form sec(sin-1 8x)

A:

Q: 7C Use a cofunction to write an expression equal to sin

A:

Q: Write the expression as a power of  e.   (tanx) secx

A: Given expression is tanxsecx.

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.)

A: Our Aim is to verify the identity by converting the left side into sinesand cosines.5 sec (x)- 5 cos…

Q: 11. sin 29°

A: This question is related to trigonometry.

Q: write the trigonometric expression in terms of sine and cosine and then simplify tan2x - sec2x

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.