Use the given value to evaluate each function. (a) sin(t) (b) csc(t) sin(-t) = N|a

Q: If m<A = 72°, mzB = 32°, and c= 8, what are the measures of the remaining sides and angle?

A: given  m∠A=72°m∠B=32°c=8according to sin law  sin(A)a=sin(B)b=sin(C)c

Q: The measures of two angles in standard position are given. Determine whether the angles are…

A:

Q: 3. A crane is being created by four steel members (bold) and a cable, as shown in the diagram below.…

A: cosine law c2 = a2 + b2 - 2abcosAsine law asinA = bsinB = csinC

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. t = −  pi 2…

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Q: 5. Solve 2 sec²x-5 secx+ 2 = 0 on the interval x e [0,21].

A: The given trigonometric equation is: 2sec2x-5sec x+2=0

Q: Use the Cofunction Theorem to fill in the blanks so that the expression becomes a true statement.…

A: we know from cofunction theorem tan(90°-x)=cot(x)

Q: please write a sine function which generates this graph. In so doing, please explain the relevance…

A: Given graph,

Q: Given cos(x) = -√ what is the value of cos(x + n)?

A: given  cos(x)=-32we know  cos(π+x)=-cos(x)

Q: If f(x) = x + 4 and g(x) = x - 4, what is the minimum value of the function (fx g)(x)? Explain.

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Q: Use a calculator to find the following. Round your answer to four places past the decimal point. cot…

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Q: Question 5 A radial saw has a blade with a 6 in radius. Suppose that the blade spins at 1000 rpm.…

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Q: What is the area of AABC given m<B=95°, a= 22 feet, and c = 17 feet?

A: given  m∠B=95°a=22 feet c=17 feet area of triangle is A=12acsin(B)

Q: Prove sin (x + y) tan x + tan y sec x sec y

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Q: For the expression, replace x with 30°, y with 45°, and z with 60°, and then simplify as much as…

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Q: The area of a sector of a circle with central angle 140° is 70 m². Find the radius of the circle.

A: The area of a sector of a circle with central angle 140° is 70m2. We have to find the radius of the…

Q: Suppose x = 5 in the figure, which is not drawn to scale. Use trigonometric ratios to find the…

A: We can solve this as follows:

Q: If mzB = 13°, a = 15, and c=21, what are the measures of the remaining side and angles?

A: given m∠B=13°a=15c=21accordinr to sin law we know sin(A)a=sin(B)b=sin(C)c

Q: x 72 in. 0 The figure above shows a right triangle with dimensions in inches. If = 55°, what is the…

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Q: Given that t= tanto Show that 2t 17t² (11) cost = 1-t²2 1+t² (1) Smd=

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Q: Determine the angle between 0 and 2n that is coterminal with 197 4

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Q: What is the area of a regular hexagon inscribed in a circle of radius 9 meters?

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Q: What is the area of AABC given mzB = 95°, a = 22 feet, and c = 17 feet?

A: given  m∠B=95°a=22 feetc=17 feet area is A=12acsin(B)

Q: Given: triangle ABC, find angle B. (Round answer to the nearest tenth) 34.8 B. 34.9 A 67 C. 43.8 C…

A: according to cos law  b2=a2+c2-2accosBgiven  b=67a=91c=117

Q: In terms of the contangent of a positive acute angle, why is the expression for cot 5pi/9

A:

Q: Solve 3 cotx-1= 0 on the interval x € [0, 2x], to the neares hundredth of a radian.

A: Here is the solution:

Q: 12) 2 1 -3₂ A)x=0, x=3 C) x = 3 x B) Function is differentiable at all points. D) x = 0 13

A: Note: Since the student has mentioned to solve only question no. 12, so we are solving according to…

Q: Solve each equation. Remember to check for extraneous solutions. 2) √6-n- - 10 = -6

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Q: Let be an angle in quadrant II such that tan Find the exact values of cos 0 and csc 0. nit

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Q: This problem refers to a right triangle ABC with C 90° as shown in the image below. Use the given…

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Q: What is the area of AABC given mzB = 95°, a = 22 feet, and c = 17 feet?

A: given  ∠B=95°a=22c=17formula for area is A=12(a×c)sin(B)

Q: You have an angle (call it Angle A) which measures 218.34 degrees Find an angle between 0 and 360…

A: We can solve the given problem by using the following formulas. sin(180 +x)= - sin(x) sin(360 - x)=…

Q: 3) 2tan 1-tan²1 8

A: let A=2tanπ81-tan2π8we know  tan(2x)=2tanx1-tan2x

Q: write me one transformation: equation and solve it on paper and show your work step by step ( the…

A: We have to give one transformation.

Q: A wheel makes 45 revolutions per min. How many revolutions does it make per second? 3 The wheel…

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Q: Given that cos(0) > 0 and cot(0) < 0, in which quadrant does lie? Select the correct answer below:…

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Q: Solve the following equation on the interval x = [0, 2π] 2cos x 3 cos x + 1 = 0

A: 2cos2x-3cosx+1=0   on 0,2π2cos2x-2cosx-cosx+1=0

Q: Prove sin (x + y) = tan x + tan y sec x sec y

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Q: A с b B a C

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Q: X₁ 54° X 23

A: We will find the required.

Q: You are given a right triangle with angle A being the 90 degree angle - just like in lecture. If…

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Q: A small triangular piece of metal is needed to add support to a trailer frame. The hypotenuse has a…

A: we need to find out the value of a.

Q: Find the values of the all six of the trigonometric functions of given that cos(0) = 91 109 and…

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Q: (1) cos(x+y) (ii) Sim (x+y) (1) th (x+y) () Cos (x-y) (1) tm (x-y) (vi) (052x

A: Given :(i) cosx+y(ii) sin(x+y)(iii) tanx+y(iv) cosx-y(v) tanx-y(vi) cos2x                  (vii)…

Q: Question 8 Use identities to find the indicated value for each angle measure. sin e = 2. cos e > 0 O…

A: We have to solve above question

Q: Two weather stations are aware of a thunderstorm located at point C. The weather stations A and B…

A: given  AB=24 miles m∠A=17°+90°=107°B=90°-48°=42°according to sin   lawsin(A)BC=sin(B)AC=sin(C)AB

Q: Find the exact value of the expression. Do not use a calculator. 9 sin 90°-2 cos 180° Select the…

A: let  N=9sin(90°)-2cos(180°)

Q: 2 lim хэч 1x2 +\ ite 6-X

A:

Q: A right triangle has a hypotenuse of length 11 units and includes a 40° angle. What are the lengths…

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Q: The terminal side of angle intersects the unit circle in the first quadrant at x = 1. What is the…

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Q: Draw the following angle in standard position, find a point on the terminal side, and then find the…

A: Please see the below picture for detailed solution.