Find the exat value of the expression when enver it is defined. a.  arccos( cos(6pi/5)) b.  cos-1(cos (4pi/3))

Q: Determine cos 'given sin 0 =– and tan0 < 25 %D

A: Find the value of cos(Θ/2)?  If sinΘ = 7/25

Q: Find the exact value of cos 195° + cos 105°

A:

Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). sin(2u) cos(2u) tan(2u) II…

A:

Q: Using trigonometric substitution to evaluate 2, we will get A (1+ cos20) de what is the value of Az…

A: Given,

Q: Find 10. cos°0 do

A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.

Q: given: cos theta=1/8 and 3pi/2&lt;theta&lt;2pi. Find and simplify the exact value of: -cos theta/2

A: Consider the given equation:

Q: Find the exact value of cos by using a sum or difference formula. 12

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Q: Use a right triangle to simplify the given expression as shown. Assume x 7 0.

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Q: Use half-angle formulas to find exact values for the following. cos (75°)=______________

A: Firstly, we evaluate value of cos 150 degrees.

Q: Determine the EXACT VALUE of the following: a) tan(arcsin() b) sin(arctan() c) cos(arcsin() d)…

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Q: As theta increases from 0 degree to 90 degree , the value of cos theta tends toward which of the…

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Q: Evaluate the expression cos(0 – 6) if cos e = }, 0 is in quadrant IV, tanó = -V3, and o is in…

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Q: Given sine = -5/13 and cose < 0, determine tane O -12/5 O 12/5 O 5/12 O -5/12

A: Solution ) sin(thetha) = -5/13 and cos(thetha) &lt;0 Sin thetha is ( - ) and cos (thetha) &lt;0 that…

Q: Use the appropriate reciprocal identity to find the exact value of sec θ for the given value of cos…

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Q: Find the exact value of cos20 given csce = – -- and tane > 0 Simplify the trigonometric expression…

A: Given that cscθ=-52 and tanθ&gt;0. Need to find the exact value of cos2θ.

Q: Find cos(arctan(2))

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Q: Find the exact value of cos 2 .... cos 2 (Type your answer in radians.)

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Q: The value of cos8n from the unit circle is

A: We have to find out where 8 π will lie in the unit circle to find out value of cos8π

Q: 7 and tan 0 > 0, find the exact value of cos 0 If csc 0 = %3D

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Q: Find the exact value of the expression. Not a decimal.   cos^-1 (sin 7Pi/6)

A:

Q: Find the exact value of cot (cos^-1 (-4/7))

A: As we know that sinx=1-cos2x   and cotx=cosxsinx

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: Evaluate the expression cos(@ – 6) if cos e = , 0 is in quadrant IV, tan o = -V3, and o is in…

A: givencosθ=35=BHby using Pythagoras theorem in a right angle triangleH2=B2+P252=32+P2P=4theerefore…

Q: Evaluate the exact value of cos sin 61

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Q: Use a sum or difference formula to find the exact value of the following. TC Cos cos sin - 5 15 15

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Q: Use half angle formulas or formula for reducing powers to fill in the blanks in the identity below:…

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Q: Evaluate without using a calculator.     cos    -1 ( cos 7pi/4)

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Q: Use half angle or power reduction formulas to fill in the blanks in the identity below: (sin(2z))“…

A: The given expression is sin2x4. Rewrite as follows. sin2x4=sin22x2=1-cos22x2=1-1+cos4x22…

Q: Find the four Smallest positive values of X Cin radians) such that.. Cos x= 5TC 9TC

A: We will solve the following.

Q: Find the exact value of cos 285° by using sum or difference formula

A: Given : cos285°

Q: Evaluate the sin2θ, cos2θ, and tan2θ, where cosθ = 5/13, with θ in Quadrant IV.

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Q: Suppose that csc a = and 0<a< 4 Find the exact values of cos and tan-

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Q: Find θ, 0° ≤ θ < 360°, given the following information. cos θ = − √3 / 2 and θ in QII

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Q: Find the exact value of cos 105° by using a sum or difference formula.

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Q: What is the exact value of the expression cos(arctan(7/8))

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Q: Evaluate sin(cos^−1(5/13)), giving your answer as an exact value (no decimals)

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Q: Find the exact value for cos 75 degree

A: we have to find the exact value of cos75∘

Q: given: cos theta=1/8 and 3pi/2&lt;theta&lt;2pi. Find and simplify the exact value of: -cos2theta

A: Compute the sin theta value as follows.

Q: Evaluate without using a calculator.     cos    -1 ( cos 7pi/6)

A: Given cos-1cos7π6

Q: Find value of cos 30 °

A: Solution is given below:

Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.) arccos COS

A: The given expression is: arccoscos-9π2 Now using rule: cos(-x)=cos(x) arccoscos-9π2=arccoscos9π2

Q: Find the exact value of cos 75° by using a sum or difference formula.

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Q: Find the exact value of cos 0 and cot0 given csc0 = and tan 0<0.

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Q: Find the exact value of cos105° using a half-angle formula. Show all work.

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Q: Determine sin (cos a) if a = 1500°. Do not include the degree symbol in your answer. -1 Provide your…

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Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.)…

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Q: Find cos 2 if csc u = – 9.837 and u is in Quadrant-IV. CoS Your answer should be accurate to 4…

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Q: Find the exact value of the expression, if possible. (If not possible, enter IMPOSSIBLE.)…

A: We have to find the value

Q: Use half-angle identifies to find the exact value.  Show all work!  cos(3π/8)

A: Using half angle identity , need to findcos(3π8)

Q: 5) If 3 Cosa = - n 1

A: use trigonometric identity to find the value of tan.

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.