Evaluate each of the following expressions when x is p/6. In each case, use exact values.      cos 4x

Q: Evaluate the following expression. sin?() + cos²(}) O1/4 O1/2 1

A: Given that: sin2π6+cos2π3

Q: Use the given value to evaluate each function. 1 cos(-t) = 7 (a) cos(t) 1/7 (b) sec(-t) 7

A:

Q: Use the given value to evaluate each function. 3 cos(-t) = 8 (a) cos(t) (b) sec(-t)

A:

Q: Evaluate each of the following if x is p/2 and y is p/6.          cos (x-y)

A: cosx-y

Q: Write the given expression as an algebraic expression in x. cos(2 tan-1 x)

A:

Q: Simplify the following expression  1 + cos4θ / sin4θ

A: We can make it easier for you.

Q: Find the exact value, if any, of each composite function.

A: Given: coscos-1-0.4 To determine: The exact value of the given composite function. Formula used:…

Q: Determine the exact value for each of the following expressions. cos -si sin sin cos cos COS sin 3…

A:

Q: Evaluate each of the following expressions when x is p/6. In each case, use exact values.     sin 2x

A: The given expression is sin2x

Q: Use the above to evaluate x sin(x) ap: - 72

A: c) Given that, quadrature formula ∫01x1-x2fxdx=∑i=0nai fxi To find: ∫01x sinx1-x2dx

Q: Plot the following function У-cos(2n/5)-х)

A: y=cos2π5-x

Q: Evaluate each of the following: 1. [ sin 5.x sin xdr

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Write the given expression as an algebraic expression in x. cos(2 cos-1(x))

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Q: Evaluate the following expressions : 1 -1 O Sec(Cos ) b) Sin1– Sin' (-1) c) Cos (-Sin)

A: Trigonometric ratios are both normal and inverse. They have units called degrees and radians.

Q: Evaluate each of the following if x is p/2 and y is p/6.        cos (y- pi/6)

A:

Q: For each expression that follows, replace x with 30  0, y with 45  0, and z with 60  0, and…

A:

Q: If cos A= 21/3 and A is between 90° and 180°, find   cos A/2

A: Given cos A = 21/3    A is between 90° and 180°.   We know cos θ ∈ [-1, 1]

Q: find the exact value of each expression.

A: Given cos-122

Q: For each expression that follows, replace x with 30  0, y with 45  0, and z with 60  0, and…

A:

Q: Find the exact value of the expression. cos (30° + 120°) so:

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Q: Evaluate each of the following expressions when x is p/6. In each case, use exact values.     3- sin…

A: Given expression is 3-sinx. If x=π6 then, 3-sinx=3-sinπ6=3-12…

Q: Rewrite the following expression in terms of the given functions. 1 cos x and sin x tan X+ cot x

A: We have to Express

Q: Evaluate each of the following expressions when x is p/6. In each case, use exact values.     5 sin…

A: Given expression,  5 sin 3x To evaluate when x = π/6

Q: Evaluate the following expression when x = -. In each case, use exact values. 2· cos(8x Preview %3D

A:

Q: Find, the value Cos 20, when: * .cose = 12/13

A: The cosine angle in a right  triangle is ratio of base to the hypotenuse. cosθ=BaseHypotenuse From…

Q: y = ( 1)cos a 2.x +

A: Given query is to find the derivative of the function.

Q: For each expression that follows, replace x with 30  0, y with 45  0, and z with 60  0, and…

A: Given, 2 cos ( 900  -z) and z=600

Q: 2) Use the Sum and Difference formulas to evaluate the following expression cos (345°)

A: Formula ' s  1 ) cos ( A - B )=   cos A cos B + sin A sin B    2 )  cos ( 360 ° - A ) = cos A

Q: Evaluate the following expression when x is π/6. Use exact values. 4 cos ( 2x + π/3)

A:

Q: Find the function value. cos 0.8215

A: Our Aim is to find the function value of cos (0.8215).

Q: Which of the following expressions correctly determines the value of cos ZC? A 10 C

A: Given that :- a=8 b=10 cos∠C=?

Q: For each expression that follows, replace x with 30  0, y with 45  0, and z with 60  0, and…

A: The given expression is 6cosx .

Q: For each expression that follows, replace x with 30  0, y with 45  0, and z with 60  0, and…

A: We have to simplify: -3 sin 2x where,  x=30°y=45°z=60° So putting x=30° in the given expression: -3…

Q: For each expression that follows, replace x with 30  0, y with 45  0, and z with 60  0, and…

A: Definition used -  Value of trigonometric ratios-                          sin (30°)=…

Q: Evaluate each of the following expressions when x is p/6. In each case, use exact values.     1/2…

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Q: sin-1 V2 b. cos12 1.

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Q: Evaluate the following expressions. () -1 Cos sin COS V2 tan sin-1

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Q: For each expression that follows, replace x with 30  0, y with 45  0, and z with 60  0, and…

A: Given:           2 cos(3x - 450) To replace x with 300, y with 450 and z with 600

Q: Find the exact value of the following expression. V3 - 1 tan 3

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Q: Evaluate the following expression when x is pi/6. Use exact values. 6 cos (2x + pi/3)

A:

Q: Evaluate the following expression. Give your answer as an exact value. -1 sin COS

A:

Q: Evaluate the following 2 sin (x) 1+ cos (x)

A: We know that, sinx=2sinx2cosx2          ⋯⋯1cos2x=2cos2x2-1               ⋯⋯2 We have the given…

Q: Find ƒ″(x) for each function. Then find ƒ″(0) and ƒ″(2): ƒ(x) = cos3 x

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Q: For the given function y = -13 cos(-x – 30°), state:

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Q: O Find the exact value of the expression cos 195°.

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Q: Complete the following table using exact values. (If an answer is undefined, enter UNDEFINED.) sin x…

A: The sin value for given angles, we have to find the cosec values.

Q: Use the given value to evaluate each function. 2 cos(t) (a) cos(x – t) (b) cos(t + x)

A:

Q: 1+cos 0 V1- cos 0

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.