Given the equation ry dz = Arctan(ye²), find

Q: Verify the identity.

A:

Q: / Find the equation of the tangent through the Point P(I,4) with the angle of in Clination 8 = 60…

A: Given Point P(1,4) & inclination θ=60To find equation of tangent:

Q: Solve for the missing information, given the AB is a tangent line to circle C. B 10 cm 45° CB =

A: We will find the length of CB as following.

Q: On a map, Orlando is 178 mm due south of Niagara Falls, Denver is 273 mm from Orlando, and Denver is…

A: Explained below

Q: If y = In[sec 0 + tan 0) find, then choose the correct answer: dx

A:

Q: Find arc AC, labeled x. C. 106° A.

A: The figure is given by To evaluate : The value of mAC⏜ labeled x

Q: Whats the bearing of xqY? E 108°

A: Solution is written in below steps.

Q: (b) - in Quadrant III. tan: ||

A:

Q: If g(r,s,t) = et sin(st), find dsdr2*

A: Given Data: Function: gr, s, t=ertsinst   The triple partial derivative can be rewritten as,…

Q: dy If y = tan? x, find da

A:

Q: If the product of the intercepts made by the straight line (osa xtana+yseca =1 0 sa < on the…

A:

Q: If a e" sec 0, y = e' tan 0, show that Hr,e) (r,0) 1 (1,y) E E E

A:

Q: Write an equation for the circle

A:

Q: If cost = 4/5 and tis in the first quadrant, find sin(2t)

A: Use trigonometry relations.

Q: ド wCry Cos B y = ě .Sing %3D

A:

Q: Find the missing side/angle for each problem below. A. 500 mZD = %3D В. 40 5t 7. С. K J<60° mZL =

A:

Q: Find the acute angle to the nearest degree between the vertical lin x = 2 and 3x -2y + 1= 0

A:

Q: Evaluate the arccos 2 4 T ト3 ト6

A:

Q: Given the equation below. Give what is being asked. |(-1+ tanx) dx = atanx + Bln|secx| + C %3D Find:…

A: Given ∫(-1+tanx)2dx=αtanx+βlnsecx+C  To find  α-β

Q: Solve for X (length of KS) when Angle L is and the length of LS is 19 degrees 11.1 inches

A: Given,  ∆KLS with ∠K = 90°  ;  ∠L = 19°   and   LS = 11.1 inches We have to find the value of x

Q: A traffic light weighing 22 pounds is suspended by two wiresas shown in Figure 10. Find the…

A: We draw a triangle based on the given image value of w is 22

Q: If y = (sin x)e, what is dy ? dx

A:

Q: use the formula x=1/32 v2 sin 2 theta to explain why the projection angle that maximizes the…

A:

Q: While shopping at his local home improvement store, Chen noticed that the directions for an xtension…

A: To find the length of ladder  The figure is

Q: The equation P= 20 sin (2īt)+ 110 models the blood pressure, P, where t represents time in seconds.

A: Given,          The equation P=20sin2πt+110 models the blood pressure, P, where            t…

Q: Find the following values:   Sec(17pi/3)

A:

Q: Given that 5cosß - 3 = 0 and 0° < B < 90° If x + B = 90° and 0° < x < 90°, calculate the value of…

A:

Q: Find the exact value using half angle idcntity. COS 22.5° A.) - Jz+rz B-) 2-JZ C.) D.) 2. 2

A: This question can be solved using the formula of cos2A

Q: Use a calculator to approximate sec 31.7 degree a. 0.850 degree b. 0.5255

A: Using calculator we get, cos (31.7 degrees) = 0.850811 (approximately)

Q: If y = cos*[sec? (30)], and (0 =) y will be equal to?

A:

Q: In AFGH, the measure of ZH=90°, FH = 24, GF = 25, and HG = 7. What is the value %3D %3D of the…

A:

Q: 10.) ſcsc?xsin(cot.x)dx

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: 1tanx·cosx·cscx=cot2x

Q: If 0 &lt; t &lt; π/2, describe sec t as a ratio of the lengths of the sides of a right triangle.

A: If 0 &lt; t &lt; π/2, we have to describe sect as a ratio of the lengths of the sides of a right…

Q: Find the exact value of sec 30°.

A: The main objective is to find the value of sec 30°. It is known that the secant function is…

Q: Given the equation below. Give what is being asked. sin2tcos2tdt a In(1+3cos4t) + C %3D 1 + 3cos4t…

A:

Q: d (c) dx [arcsec u] lu| Ju 1

A:

Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Show that the left hand side is equal to the right hand side.         1+cos xsin x=csc x +cot x

Q: If sec 4A = csc (A-200 ) where 4 A is an acute angle , Find the value of A

A:

Q: In right AABD, AC is an altitude. If DC= 8 and CB= 3, then AC equals

A: 1)  All right angle triangle are similar, so we have      △ACB∼△ADC 2) Since both triangles are…

Q: Which among the following best describes the equation: y = 1/2 cot x ?

A:

Q: In what quadrant will θ terminate if sec⁡ θ is positive and csc⁡ θ is negative?

A: We know that in quadrant IV, cosθ is positive and sinθ is negative. Now we have,…

Q: 4. 133 (9x + 2).

A: Consider

Q: cot'x csc'xdx 4.

A:

Q: If a = 5 km, b = 7 km, and c = 9 km, use the law of cosines to find C to the nearesttenth of a…

A: Given: a=5 km, b=7 km  and c=9 km. To find: ∠C Solution: Cosine rule of triangle states that:…

Q: π If y = cos*[sec? (30)], and (0 y will be equal to? = ;) 9.

A: The given function is y=cos4sec23θ and θ=π9. Evaluate y' as follows.…

Q: dy у — у? arcsin² /y + 6 arcsin /y

A: Solve the integration using the substitution method.

Q: In the triangle at the right, which ratio represents sin R?

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.