Make the indicated trigonometric substitution in the given algebraic expression and simplify (see Example 7). Assume that 0 < 0 < t/2. V1+ x², x = tan(0)

Q: If y = -then is equal to 1+ cor 4+ sin 4 L sin 14 sin A

A: answer of given question is in step 2

Q: For what value of θ (less than 2π) will the following equation be satisfied? sin2θ + 4sinθ + 3 = 0. ...

A: The given equation is; sin2θ + 4sinθ + 3 = 0.    

Q: S tan36x sec106x dx sec1?6x sec106х +C sec126x sec106х + C 60 A 72 60 72 sec126x sec'106x +C sec126x...

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Q: given a triangle with the following angle measures, find the value of the missing angle: <1= 8°22'32...

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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: V3 + i 5 13 + i Simplify your answer, including any radicals. Use integers or fractions for any numb...

A: Given query is to find the quotient.

Q: Find the inverse of the function A«) = 27x" +8_ Vi-8 a. fk) =- V1-8 27 3 Vi-2 d. f'l(x)=- 27

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the dist...

A: consider the figure given below :

Q: Determine the angle of the vector with respect to the first quadrant. A=57.6 i + 40.1 j

A: tThs angle can be calculated by using the formula θ=tan-1yx

Q: Problem #1] The aluminum frustum of a right circular cone has an altitude of 15 inches and, whose up...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: What value of θ makes the statement true? cosθ=sin(θ/3−10

A:         cosθ=sinθ3-10∘ Use cosθ=sin90∘ -θ⇒sin90∘ -θ=sinθ3-10∘ ⇒θ3-10∘ =90∘ -θ+360∘ n,    θ3-10∘ =180...

Q: 2. cot 20 = Csc8- 2 sin e 2 cos 0

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Q: Write the given expression in terms of x and y only. sin(tan-1 x – tan-1 y)

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Q: Reduce the given expression to an equivalent expression involving constants and powers of sin x  or ...

A: We have to reduce given expression in terms of sinx &amp; cosx

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

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Two tangents to a circle intersect at an angle of 50°. Two secants intersect the two tangents at the...

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Q: A circle has a radius of 7 cm. Find the length s of the arc intercepted by a central angle of radian...

A: We know that , length of arc s=rθ Where r is radius of circle, and θ is central angle, Given that r=...

Q: point on the terminal side of an angle 0 in standard position is (- 15, 8). Find the exact value of ...

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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: A hamster running in a wheel of radius 10 cm spins the wheel one revolution in 10 seconds. a) What i...

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Q: ship leaves port on a bearing of 45.0° and travels 10.8 mi. The ship then turns due east and travels...

A: Given query is to find the  distance of the ship from the port.

Q: Solve each inequality over the interval [0, 27t). 4) f(x) = 2cos x-2, f(x)> 0

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Q: in each of the Tallowing figures. Write your answer on a separate esolutions 4X 3x 2X+ 2X -1 X=6

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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: 86° 51° • M C.

A: Given query is to find the measure of angle B and C.

Q: Use trigonometric identities to simplify the expression. cot(t + x)tan(t)

A:

Q: 2. Let f(0) = tan (0). What is the input quantity for f (the arctangent function)? The output quanti...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Use substitution to determine whether the given x-value is a solution of the equation. cos x + 1 = ...

A: By using substitution to determine whether the given x‐value is a solution of the given equation.cos...

Q: 05 1.6 2.0 5 cond Transfon E 6. C

A: Triangle

Q: A point on the terminal side of an angle 0 in standard position is (-5,- 6). Find the exact value of...

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Q: Sx + 1, if { x20} L-2x + 2, if { x < 0} 6)Graph f(x) =

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

A: A detailed solution is given below

Q: 13 69°

A: sinθ=side opposite to θhypotenuse

Q: Solve each inequality over the interval [0, 2rt). 4) f(x) = 2cos x -V2, f(x)> 0 %3D

A: solution:-f(x)=2cos x-2 ,     x∈[0, 2π)   f(x)&gt;02cos x-2&gt;02cos x&gt;2cos x&gt;22cos x&gt;12x∈0...

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 COS X = 5' * csc x < 0 sin 2x = cos 2x...

A: We answer the questions as below.

Q: 3. In AABC, ZA is 40°, a = 10 cm, and b = 12 cm. Determine c, to the nearest tenth of a centimetre. ...

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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 query is to find the equation of the graph.

Q: Find DF. 64° 10 F. E.

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Q: A 89 120 73 C

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Q: (4, 3), (4, -3), (-3, 4) and  (-3, -4). Which of the following pairs of vectors is perpendicular?

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Q: Ravi is a software salesman. His base salary is $1800, and he makes an additional $80 for every copy...

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Q: 1) Evaluate f(x) when x = -6, x = 1, x = 4. %3D r+4 f(x)={2 if x4 Find F(-6)= Find F(1)= Find F(4)=

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Q: Find an equation of the line tangent to the graph of 8. y = at the point (4, 8/2). Answer: y=

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Q: dona ol enoiluloe boltob diw bo boxi bre In Exercises 9-24, solve each triangle. Round lengths to th...

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Q: Reduce the given expression to an equivalent expression involving constants and powers of sin x  or ...

A: Given problem:- Reduce the given expression to an equivalent expression involving constants and powe...

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

A: By law of cosineb2=a2+c2-2accosBSubstitute b=41, c=32 and B=74.73°412=a2+322-2a(32)cos74.73°1681=a2+...

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

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Q: Convert the polar equation to rectangular form. 4 r = - 1 - cos 0

A: