Verify the identity. 4 tan x + 4 tan y- 4 cot x + 4 cot y 1- tan x tan y cot x cot y - 1 Step 1 First recall the reciprocal identity for tan 0. 1 tan 0 = cot(0) cot (0) Step 2 Now simplify the left side of the given expression. 4 4 tan x + 4 tan y 1- tan x tan y cot x cot y 1 cot x cot y 4 cot y + cot x cot y cot x cot y - cot x cot y 4 cot x + 4 cot y cot x cot y - 1

Q: Identify the measure of the given angle. All angle measures are multiples of 30 or 45 degrees. degre...

A: Given image 

Q: A trigonometric function of an angle is always equal to the cofunction of the_____________ of the an...

A: Cofunction theorem:  A trigonometry function of an angle is always equal to its cofunction of the co...

Q: Figure 3 shows two right triangles drawn at 90° to one another. Find the length of DBif DA = 6, AC =...

A: Given that DA = 6, AC = 5, and BC = 3. From the Right angle triangle ∆ABC, AC2=AB2+BC252=AB2+32AB=25...

Q: Multiple Representations ef Relations & funstions Jable Ondened Paino Uhaph Mapping y Input Outp -1 ...

A: Given  

Q: Find the magnitude of each of the following vectors.     (0,5)

A: If v=ai+bj=a,b is any vector then magnitude of v is v=a2+b2

Q: One cycle of the graph of a trigonometric function is shown inFigure 4. Find an equation to match th...

A: We know that value of sinx is 0 at x=0,π And value of sinx is 1 at x=π2 and -1 at x=3π2. From given ...

Q: Find the amplitude, period, phase shift and vertical shift: y=3csc(x-pi/4)+1

A: given: y=3cosec(x-pi/4)+1

Q: Distance Two guy wires from the top of a 35­foot tent pole are anchored to theground below by two st...

A: Length of the tent pole is 35 foot. The tent pole is perpendicular to the ground and between the two...

Q: Find angle B in triangle ABC if a = 2, b = 6, and A = 30  degree

A: a=2 b=6 A=30 degree

Q: Distance to a Rocket Tom and Fred are 3.5 miles apart watching a rocket being launchedfrom Vandenber...

A: Draw the position of the rocket being launched from Vandenberg Air Force Base.    

Q: Find the sine, cosine, and tangent of 2700

A: we have to find sin270∘,cos270∘ and tan270∘ we know that sin360∘-θ=-sinθcos360∘-θ=cosθtan360∘-θ=-tan...

Q: In the problems that follow, point P moves with angular velocity v on a circle of radius r.In each c...

A:

Q: Prove each identity.   cos  ( pi/4+x) + cos  ( pi/4-x) =  /-2 cos x

A: cosπ4+x+cosπ4-x=2cosx

Q: Identify the argument of each function.         cot (2x +pi)

A: To identify the argument of cot(2x + π) 

Q: Plz

A: The given function is, y=6sinπx+6cosπx Now, for the x intercepts, y=06sinπx+6cosπx=0sinπx=-cosπxtanπ...

Q: Use the dot product to find the magnitude of u. u = −26i Now find the dot product.The dot product of...

A: u = −26i The dot product of two vectors  u = u1i + u2j  and  v = v1i + v2j  is  u · v = u1v1 + u2v2....

Q: Solve till end plz

A:

Q: Write each equation with rectangular coordinates.      r2 =  4 sin 2 theta

A:

Q: If tan u = -3, find tan (-u).       1/ 3

A: Given tan u=-3.

Q: Plz

A:

Q: Write each equation with rectangular coordinates.       r(cos u + sin u) = 3

A: Given: rcosu+sinu=3 for converting given equation in rectangular coordinates, we know that rcosθ,rsi...

Q: Use a calculator to solve the following equation for 0 on the interval -,. sin (0) = 0.705 Round to ...

A: sinθ=0.705   ,  -π2, π2

Q: Use your graphing calculator to determine if each equation appears to be an identity bygraphing the ...

A: Graph:  The graphs of two functions are exactly same on using graphing calculator. Hence  cosx=sinπ2...

Q: Solve plz

A: (a) We know,sin90-θ=cosθThus,s =h sin90-θsinθ   =   h cosθ    sinθ   =h cotθ

Q: Prove the identity whether it is true or false

A:

Q: Write each expression as an equivalent algebraic expression involving only x. (Assume xis positive.)...

A: Given: sin2tan-1x for solving this we assume tan-1x=θ and use formula sin2x=2sinxcosx so, tanθ=x sin...

Q: Identify the period for each of the following. Do not sketch the graph.            y = sec ( 1/6 x)

A: given: y=sec16x we know that period of seckx is given by T=2πk

Q: The derivative of tan(9*x) is (sec(9*x))2(9))   Can you tell me where the sec2 came from?

A:

Q: Identify the vertical translation for each equation. Do not sketch the graph.       y = 5 + sin x

A: Vertical translation: The graph of y=fx+c is the graph of y=fx translated c units vertically. If c i...

Q: Perform the following operation. Reduce if possible.     45   .   pi/180

A: Given the expression 45·π180. We need to simplify the given expression.  

Q: Is it possible to draw a triangle whose angles measure 70°, 70°, and 50°?

A: Not possible Option d is the correct answer.

Q: Plz

A:

Q: Ski Lift A ski lift operates by driving a wire rope, from which chairs are suspended,around a bullwh...

A:

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

A:

Q: A right triangle has a base of x, height of 5 and a top angle of 39 degrees. The hypotenuse is not g...

A:

Q: Write each of the following in terms of sin theta and cos theta; then simplify if possible.   sec th...

A: We have  to write secθcosecθ in terms of sinθ and cosθ. We know that secθ=1cosθ and cosecθ=1sinθ. So...

Q: Compare AB and AD. C 50 110 100 100

A: Given figure is,

Q: How do I solve 12?

A:           Here b=89.2, c=23.1 A=108°we use law of cosine to solve for thisa2=b2+c2-2bc cos(A)a2=(89....

Q: Referring to Figure 2, find (in order) h, r, y, and x if s = 5Ï3.(Note: s is the distance from A to ...

A: Concept: The trigonometric ratio are ratios, sine, cosine, tangent, cosecant, secant and cotangent. ...

Q: Graph one complete cycle of each of the following equations.     y =3 + 1/2 cot pi/2

A: Given: y=3+12cotπ2 we know that cotπ2=0

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.