Activity 7– BASIC IDENTITIES Reduce the given expression to an equivalent expression involving constants and powers of sin x  or  cos x. 1. (cot x – 1) / (1 – tan x)  2. sec x / (tan x + cot x) 3. cot2 x / (cot2 x + 1)

Q: Find the area of the sector of a circle of radius 5 meters formed by an angle of 150° The area A of ...

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Q: Write the quotient in rectangular form. 3 cis 385° 15 cis 70° 3 cis 385° 15 cis 70° (Simplify your a...

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Q: Sketch a cubic polynomial g(x) with the following characteristics. g(x) > 0 on (-0,-4) and (-2,3). g...

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Q: A wheel is rotating at 7 radians/sec, and the wheel has a 61-inch diameter. To the nearest foot, wha...

A: Explained below 

Q: Answer the following. Show your solution. (Reduce your answer to lowest term, if necessary). 1. Refe...

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Q: 56 38' 58 20 41 42 n the truss shown, find the value of ZDCE in degrees. 4

A: We have to find the value of angle.

Q: ram, determine the measure of 21 when the length of side x = 4.80 ft th of side y = 5.60 ft. Round t...

A: Topic:-  Geometry and trigonometry ratios

Q: 132. Let f(0) = tan (0). What is the input quantity for f (the arctangent function)? The output quan...

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Q: Consider a triangle ABC like the one below. Suppose that b=38, a=56, and B=27°. (The figure is not d...

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Q: The problem refers to triangle ABC. If A = 5°, C = 115°, and c = 560 yd, find a. (Round your answer...

A: Use the sine rule of triangle and simplify to get the answer. 

Q: Find the exact value of each of the remaining trigonometric functions of U. cos 0 = 3 e in Quadrant ...

A: In Third Quadrant , tangent and cotangent are positive . sin2θ+cos2θ =1 csc (θ) = 1sinθ ;   sec(θ) =...

Q: Direction: Illustrate the figure then solve. Show your complete solution. 7V3 Find the area and the ...

A: Given query is to find the sides and the area of the square.

Q: (c) Figure 6 shows the triangle ABC, with all side lengths measured in centimetres. 14.4 cm 6.9 cm A...

A: cosine rule

Q: cos x sin x = csc 2x cos 3x sec 2x

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Q: Fill in the blanks to complete the verification. If a squared term is needed, type it as (sin x) sq....

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Q: 132. Let f(0)= tan (0). What is the input quantity for f (the arctangent function)? The output quant...

A: Sinc you have posted multiple questions, as per our guidelines we will answer the first question for...

Q: Use an Addition or Subtraction Formula find the exact value of the expression, as demonstrated in Ex...

A: Given query is to find the exact value of the expression.

Q: given a triangle with the following angle measurements, find the value of the missing angle. <1= 25°...

A: We know that 1°=60'⇒ 1'=160°Given that ,∠1=25°17',∠2=25°,48'We know that in any triangle sum of angk...

Q: If a = (1, -3, 2) and  b = (3, 4, -5), what is b - a ?

A: Given :a = (1, -3, 2) b = (3, 4, -5)

Q: Add and simplify. (4 + 7i) + (2 – 6i) = O (Simplify vour answer. Type your answer in the form a + b

A: 4+7i+2-6i=4+2+7i-6i

Q: Let f(0) = tan (0). What is the input quantity for ƒ' (the arctangent function)? The output quantity...

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

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

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Q: two cars start from the same point at the same time. One car travels north at 62 mph. The other car ...

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Q: f-\(x) = sin='(x) а. 2'2 f-l(x) = cos-'(x) (-) b. 2' 2 f-|(x) = tan¬'(x) c. [0, n] f-(x) = cot"(x) d...

A: This is a problem of fundamentals of trigonometric identities. Please find the solution below. 

Q: The solution to the equation sin 2x sin(-x) in the interval (0, 2n) includes

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Q: 15. In the figure, OCTD is a sector of a circle which touches AB at T. Given that AB 20 cm and BO = ...

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Q: Rewrite the following polar equation in rectangular form. 7. 5cos0-9sine

A: The given equation is:r=75cosθ-9sinθWe need to convert the above equation into rectangular form.

Q: Plot the point with the given polar coordinates. Then find all the polar coordinates of the point. 5...

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Q: 4) State the Piecewise Function for the graph below. { } f(x) = - { }

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Q: Simplify the expression. tan -2a-tan -3 1+tan –2æ tan –3æ tan x tan -4x tan -5x tan -3x

A: tanA-B = tanA-tan(B)1+tan(A)tan(B).

Q: Given the vertex of a parabola is located at (– 2,1) and has a focus at     (–1,1), find the equatio...

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Q: In an isosceles right triangle ABC, with the right angle at C, the lengthi of a leg is 20 inches. Pe...

A: Given that:  C is the right triangle.  The triangle is isosceles.  Legs AC=BC=20.   Since it is an i...

Q: 4) Determine the exact value of each trigonometric ratio. a) sin 5t/6 b) sec -Зл/4

A: We will use basic properties of trigonometric functions and find the values as follows

Q: Find the product. (-4-5 i)(-4+5 i)

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Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 6 feet per second, whi...

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Q: In the truss shown, find the value of ZCDF in degrees. 60

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Q: Determine the magnitude and direction of the resultant force: 250 N 400 N 30 300 N

A: Solution is written in below steps.

Q: QUESTION 1 Find an equation for the graph. 十 y 3 sin %3D Oy32 sin (3x) Oy33 sin (2x) y 2 sin (+)

A: Given: In the above figure, the amplitude is 2. So, there are two possible equations.

Q: Cos 90

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Q: please

A: We will find the function which will give the x and y value. 

Q: A skater skates along a straight path from point A to point B. Two streets that intersect at point C...

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Q: If a = (3, 2) and  b = (-5, 3), what is a + b ?

A: Given, a= (3,2), b = (-5,3)

Q: For the following, write the quotient in polar (trigonometric) form. Then, write the product in form...

A: Given,             w=5cosπ4+isinπ4 , v=6cos5π6+isin5π6To find : wv in rectangular formWe know that, ...

Q: 2. Find the cosecant, secant, and cotangent of 45°. 45° 45°

A: A detailed solution is given below

Q: Find DF. 64° 10 F. E.

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Q: Whats the bearing of xqY? E 108°

A: Solution is written in below steps.

Q: Side c= 32.000 Side b= 41.000 Angle B = 74.730 degrees What is A?

A: Solving the problem by finding the value of Angle A.

Q: 11. In the figure, TA is produced to touch the circle at P; TB is produced to touch the circle at Q....

A: topic - circle and tangents 

Q: Express the trigonometric function in terms of the same function of a positive acute angle. tan 235°...

A: tan180° +θ = tanθ In third quadrant , tangent and cotangent are positive.

Q: ind the missing on the space provided. 1. 5 cm 60 30

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...