Use a calculator to approximate the value of each expression. Give answers to six deci-mal places.a. sec 222° 30′ b. sin 72° 30′ c. csc 78° 21′d. cot 305.6° e. tan 11.7689° f. sec 58.9041°

Q: 5. Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

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Q: Find the exact value of each expression.   a)  Cot-1(-√3)    b) arccos(-1/2)

A: Range of Cot-1 is (0,π) In this range, it will be negative in the 2nd quadrant.  So,

Q: Approximate, to the nearest 0.01 radian, all angles e in the interval [0,2r) that satisfy the…

A:

Q: Use the given information and a calculator to find e to the nearest tenth of a degree, if 0° se <…

A: To solve for θ, we will use cot inverse.cotθ=-0.7352θ=cot-1(-0.7352)θ=126.323325637°θ≈126.3°

Q: Determine the quadrant in which θ, lies if cos θ &lt; 0 and cot θ &gt; 0.

A: We have to determine in which Q, lies if Cosθ &lt;0 and Cotθ &gt;0Cosθ&lt;0this mean that Cosθ is…

Q: Determine each ratio as a decimal to four places, then find the angle to the nearest whole number A…

A:

Q: Give all six trig function values for angle 0 if tan 0 = - and 0 is in quadrant 4.

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Q: Use the given information as cot θ = 3, θ lies in quadrant III. to find the exact value of each of…

A: Given cotθ=3, θ lies in III quadrant To find: sin2θ cos2θ tan2θ

Q: Use a calculator to find u to the nearest tenth of a degree if u is an acute angle and satisfiesthe…

A: To Determine: Use a calculator to find u to the nearest tenth of a degree if u is an acute angle and…

Q: If tan A= 2.12, what is the value of cot A rounded to the nearest tenth

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Q: Find the value of each trigonometric ratio. Cos X 24 18 30

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Q: Use a calculator to find the value of the acute angle θ to the nearest degree, sin u = 0.2974

A: According to the question, we have to find the value of sin u=0.2974 to the nearest degree using…

Q: Find the exact value of each expression.

A: To find the exact value of cotsin-1-12. Solution: We know that  sin-1-x=-sinx and cot-x=-cotx…

Q: Use a calculator to find theta, to the nearest tenth of a degree, if theta is between 0° and 360°…

A: To find the angle θ.

Q: Without using a calculator, compute the sine, cosine, and tangent of 330° by using the reference…

A: Given, We have to find sin330° , cos330°  and tan330°

Q: Perform the indicated operation and simplify the result. tan x( cot x- cscx) The answer is .

A: Given:            tan xcot x-csc x Apply; cot x=cos xsin x and csc x=1sin x           =tan xcos xsin…

Q: 3) sin C 35 29 21

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Q: If the point A = (,- )is in the fourth quadrant and on the trigonometric circumference associated…

A:

Q: Use a calculator to find theta, to the nearest tenth of a degree, if theta is between 0° and 360°…

A: we have to find the value of θ if we have sin θ=0.44 and 0&lt;θ&lt;360°

Q: State the quadrant number in which the terminal arm of θ is located if: (a) sin θ is positive and…

A: The behaviour of θ in all 4 quadrants is given as follows- 1st quadrant - sinθ,cosθ,tanθ are…

Q: Use a calculator to find the value of the acute angle 0 in radians, rounded to three decimal places.…

A:

Q: 7) sin 62° 9) cos 60°

A: Q(9)cos(60°)=12=0.5 Ans

Q: Use a calculator to find a value of u between 0° and 90° that satisfies each statement. Writeyour…

A: secθ=1.9102

Q: Use the given information a calculator to find θ, to the nearest tenth of a degree, if θ is between…

A:

Q: Use a calculator to find the value of the acute angle, 0, to the nearest degree. sin 0 = 0.3083…

A: sinθ = 0.3083     θ = sin-1(0.3083)     θ = 17.95° ≈ 18°     θ ≈ 18°

Q: GIVE THE REFERENCE ANGLE AND QUADRANT WHERE EACH ANGLE LIES sin 11 pi / 6

A: Here, the angle (θ) in sin 11π6 is 11π6. First, convert the angle in degrees.…

Q: Use the given information to find the length of a circular arc. Round to two decimal places. the arc…

A: Given that radius = r = 9.08 miles θ=π3=1.047 rad

Q: If cot(0) < 0, then in which quadrants could 0 lie? Select all correct answers.

A: Given, cot(θ)&lt;0

Q: Use a calculator to answer the following: a) What is the value (to four decimal places) of TAN 55…

A: We can solve both the answer as below.

Q: Give the value of each trigonometric ratio. 30 18 A 24 COs A COs B sin A sin B tan A tan B

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Q: Find the exact value. cot 30°

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Q: In simplified form, csc² A csc2 A – sec² A =? cot? A sec² A 1– sec? A O A. В. tan? A cot? A

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Q: Find the value of each trigonometric ratio. cos X 25 20 15

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Q: If the angle & (measured in radians) is such that 37 < x < & T 8 (A) 0<tan 2x< <! (B) tan 2x < -1…

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Q: Use a calculator to find the value of the acute angle, 0, to the nearest degree. sin 0 = 0.6997 e=…

A:

Q: Find the exact value. cot 30°

A: We have to find the exact value of cot 30°.

Q: Use a calculator to find ? to the nearest tenth of a degree, if 0° < ? < 360° and cos( ?)=-0.7620…

A: Given: cos( x )=-0.7620 0° &lt; x &lt; 360°

Q: Find two negative and three positive angles, expressed in radians, for which the point on the unit…

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Q: Use a calculator to find the value of the acute angle 0 to the nearest degree. tan 0 = 8.3763

A: Given that tanθ=8.3763 To find θ

Q: Without using a calculator, compute the sine and cosine of 315° by using the reference angle. (Type…

A: Reference angle = 360 - 315 = 45 degrees. Please enter 45 in the first answer box. This angle is in…

Q: If sin theta=4/5 and theta is in quadrant 1, what is the value of tan theta?

A: Given  sinθ=45 Also θ lies in first quadrant.

Q: d the exact value of each. (Utilize knowledge of coterminal angle or reference angle) 28n cos 3 15.…

A: Topic:- trigonometry

Q: Use the given information and a calculator to find theta to the nearest tenth of a degree if0 degree…

A:

Q: Find the value of each trigonometric ratio to the nearest ten-thousandth. 7) cos X 39 15 36

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Q: Find the value of each trigonometric ratio. 1) tan C

A: Question 1,Given,          The triangle is shown below :

Q: Use a calculator, in degrees, to find an approximate angle for each expression, rounded to two…

A:

Q: Use a calculator to find a value of u between 0° and 90° that satisfies each statement. Writeyour…

A: Solution: Consider the given trigonometric equation is  cot θ = 5.5764 By using a calculator we have…

Q: Use a calculator to find the measure of angle 0 to the nearest degree if cos 0 = 0.5878.

A: Given:cosθ=0.5878

Q: Use the given information and a calculator to find  to the nearest tenth of a degree if0 degree…

A: We know that range of sine function is [-1,1]. So there is no angle θ such that sin θ=20.3090.

Q: Use a calculator to find the value of the acute angle 0 in radians, rounded to three decimal places.…

A:

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.