Evaluate the expression without using a calculator and write your answer in radians. sin-1 rad

Q: Write the trigonometric expression as an algebraic expression. cos(arccos 6x − arctan 6x)

A: Assume arc cos X= a  Arc tan X = b  Then use trigonometric formulas

Q: Evaluate the expression without using a calculator, and write your answers in radians. -1( 3 sin rad

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Q: Given that A = 0.99 radians in the picture below, find the length of the two legs. Enter exact…

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) - sec(0)…

A: We need to simplify the given expression.

Q: are sin V3

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Q: 3 Find the exact value, in radians, of the expression tan 3.

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Q: Find the exact value of the expression, if possible. Do not use a calculator. 30) 30) sin-1 sin B)…

A: Since sine is periodic, the arcsine of sine of x is equal to x plus 2kπ when k is integer:   arcsin(…

Q: Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth sin 86°…

A: Please see the answer in step 2.

Q: Use the Law of Sines to find the indicated side x. (Assume a = 170. Round your answer to one decimal…

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Q: Find the exact value of each expression. (Enter your answer in radians.) (a) arctan v3 (b) sin

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. csc(θ) − sin(θ)/…

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Q: Find the exact value of each expression

A: cos-13/5=53.13° from the trigonometric table.

Q: Find the exact value of the expression  sin 165

A: In this question we will use basic of calculus i.e use of trigonometric formulas.  We will use the…

Q: Find the exact value of each expression (enter answers in radians). sec-1(2/sqrt(3)

A: let x=sec-123secx=231cosx=23Taking reciprocal on both sidecosx=32   we know thatcosπ6=32…

Q: Use an identity to find the value of the expression sin 1.7 csc 1.7. Do not use a calculator.

A: Given to find the value of expression sin1.7csc1.7 The trigonometric identity used here will be…

Q: Find sin 75° without using a calculator. [? (V2+ V])

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Q: find the exact value of (a) and (b). Do not use calculator. (a) sin(-150°) (b) cos(270°)

A: Find the exact value of: (a) sin-150° (b) cos270°   Here we use the formula:…

Q: Use an identity to find the value of the expression. Do not use a calculator. sec? 50° - tan? 50° O…

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0)…

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Q: Find the exact value of the expression sin 165°

A: *to find:- exact value of sin165°.

Q: Evaluate the sine, cosine, and tangent of each angle. Do not use a calculator. (If an answer is…

A: To find the given sine, cosine and tangent values.

Q: Write the expression sin 40° cos 20° + cos 40° sin 20° as the sine, cosine, or tangent of an angle.…

A: Use the following identity. sinA+B=sinAcosB+cosAsinB

Q: Write the expression as the sine, cosine, or tangent of an angle. co() co() - sin(4) an() 5

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

A: Given information:

Q: Write the expression as the sine, cosine, or tangent of an angle. cos 110° cos 50° - sin 110° sin…

A: Given the expression  Cos 110° Cos 50° - Sin 110° Sin 50°  we need to solve this. As we know that…

Q: Use a calculator to approximate the value of the expression, if possible. Round your result to two…

A: Simplification

Q: Evaluate the expression cos-1(sin(pi/3))

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Q: Simplify the trigonometric expression: 1 csc e – sin 0

A: Given :                   Simplify the expression :…

Q: Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the…

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Q: Evaluate the expression without using a calculator. sin−1(cos(2?))   answer in radians, please

A: Given the trigonometric expressionsin−1(cos(2π))

Q: evaluate the expression cos-1(sin(5pi/4))

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Q: CI Use your calculator to find the sine of 36°. O A sin 36 ° » 0.5878 sin 36 ° » 0.809 C sin 36 ° »…

A: We have to use calculator to find the sin of 36°

Q: Evaluate each expression, express your answers in radian. 1. cos-1 2. sin-(-1)

A: topic - Inverse trigonometric functions

Q: evaluate the expression cos-1(sin(pi/6))

A: evaluate the expression cos-1(sin(pi/6))

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. csc(0) – sin(0)…

A: Write the trigonometric expression in terms of sine and cosine, and then simplify…

Q: Evaluate or simplify the given expression. cos(2 sinx)

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Q: Write the expression as the sine, cosine, or tangent of an angle. tan 120° - tan 80° 1 + tan 120°…

A: Given that

Q: Write the expression as a single trigonometric function. (no calculator) cos 6xcos 4x+ sin 6xsin 4x

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Q: Solve the trigonometric identity: sin4x = 2sin2xcos2x.

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(u) tan(u) +…

A: Please refer the attached image for complete solution.THANK YOU.

Q: Write the expression as the sine, cosine, or tangent of an angle. co(즉) Co()-sin(즉) an(쓸) 4л 2л 5

A: The given expression is cos2π7cos4π5-sin2π7sin4π5. Write the expression as the sine, cosine, or…

Q: Use the suggested substitution to write the expression as a trigonometric expression. Simplify your…

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Q: Evaluate the expression without using a calculator. (an() am(증) () sin 3 + csc 4 6 5

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Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. csc(θ) tan(θ)

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

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Q: Write the expression (tan 50° - tan 20°)/(1 + tan 50° tan 20°) as the sine, cosine, or tangent of an…

A: Given:          (tan50∘−tan20∘)(1+tan50∘tan20∘)

Q: Use the Law of Sines to find the indicated side x. (Assume a = 155. Round your answer to one decimal…

A: Here a=155we find the side x

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

A: The given expression is,

Q: Evaluate the following expression. arccsc(/2) Provide your answer below: Radians

A: We can find the answer as below.

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.