Prove the following identities sin(x)–1 sin(x)+1 -cos (x) (sin(x)+1)²

Q: Use the product-to-sum identities to rewrite the following expression as a sum or difference.…

A:

Q: The point N lies on the segment MP. Find the coordinates of N so that MN is 2/5 of MP.

A: To find out the coordinates of N,

Q: If B = 29° and a = 9, determine the value of c. Round to two decimal places. B.

A:

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

A: Trigonometry

Q: 9. Use the triangle on the right to find the given trigonometric ratios. (Express your answers in…

A:

Q: At 11:30 a.m. the angle of elevation of the sun for one city is 55.3°. If the height of a monument…

A: Given the height of monument(H) is = 556 feet and the Angle of elevation is = 55.3 degree tantheta…

Q: Write an expression that gives all solutions to the equation. cos x – sin x = = V2

A: cosx-sinx=2

Q: Given complex numbers z, and z,, 11π 11 t +i sin 4 11 t +i sin 12 11 T z, =3 Z2 =14 cos cos 4 12…

A:

Q: Find all solutions if 0 ≤ x < 2?. Use exact values only. (Enter your answers as a…

A:

Q: What should be the first step in verifying the following identity? (Hint - look at the numerator)…

A: We have to check which one is satisfied

Q: Let cot (0) = 6 where 0 is in Quadrant III. Find the other trigonometric functions of 0.

A:

Q: Solve the equation on the interval [0,27). cos (20) = 2 What are the solutions to cos (20) = in the…

A:

Q: tan-'(nx) e IT X

A:

Q: Solve the following equation for all radian solutions and if 0 ≤ x < 2?. Give all answers as exact…

A: Sine function is negative in third and fourth Quadrant . If ax2+bx+c=0 then x =-b±b2-4ac2a .

Q: Convert the point from Cartesian to polar coordinates. Write your answer in radians. Round to the…

A:

Q: A revolving beacon is situated 3000 ft off a straight shore. If the beacon turns at 4n rad/min., how…

A: Solution is given below:

Q: dx x² + 4x + 5 (x + 2° tan-1 + C 2 tan-1 (x + 2) + С 6) +c tan-1 D tan-1 (x) + C В O E None of the…

A:

Q: 2TC 9) y= 4cos | 30 + +2 3 %3D

A: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then…

Q: Convert the Cartesian coordinate (-2,-1) to polar coordinates, 0<0< Enter exact value. 0 =

A:

Q: At hame you have a 25 foot ladder. If sateAY code Says you can only mahe a 13° angle with the ladder…

A:

Q: True Or False: Derivative of (arcsin(x^3))^4 = [12x^2 (arcsin(x^3))^3] / sqrt(1-x^6)   Show…

A:

Q: Approximately

A:

Q: –1 Will sin (sin- x) result in the same answer as sin- (sin x)? Explain your answer.

A:

Q: (4, -3) and (4, 5) are the ts of the sides of a triangle, poordinatoc ardinates cf ite enti

A:

Q: If A is (3,5,0), B is (-1,-2,7), and C(6,1,3) forms a triangle. Find the vector component of CB…

A: let a,b,c are position vector of point A,B,C respectively. Therefore a=3i+5j, b=-i-2j+7k c=6i+j+3k…

Q: A tower is put on level ground such that it is perpendicular to it. Two 13. guy wires brace the…

A: As we know from the Pythagorean theorem; Hypotenuse2=Perpendicular2+Base2 And The trigonometric…

Q: Find the equation for the linear function that passes through the pointy(-4,-9) and (8,6)

A: We can find the equation of linear function as below.

Q: Solve 4 sin (w) – 23 sin(w) + 15 = 0 for all solutions 0 < w < 27 %3D

A:

Q: a=3.5+ A=12.5°,0=5713 =57.5 %3D

A:

Q: A Ferris wheel has a radius of 70 m, and the bottom of the wheel passes 6 m above the ground. If the…

A: t (minutes) h(t) 0 6 2.5 76 5 146 7.5 76 10 0

Q: Solve the equation for ⍬ if 0° ≤ ⍬ < 360°. (Enter your answers as a comma-separated list.) √2 csc ⍬…

A: We have to find the angle

Q: The following graph represents the function f(x) = sin x where 0 < x < 2n. Ty V2 A 4 2 B(r,0) X 1 2…

A: Given,  A(pi/4,sqrt(2)/2) B(pi,0) C(3pi/2,-1) It is a function of sin(x)

Q: complete equation so the result is an identity ___ -1 = tan^2 x

A: Given query is to complete the identity.

Q: Given DEFG above right is a parallelogram with diagonals DF and EG that intersect at C. If |DC| =…

A: topic - quadrilateral

Q: Use the figure below to find all angles between 0 and 2n satisfying the given condition. (Enter your…

A:

Q: Find all solutions in radians using exact values only. cos? 8x = 1 Ik x = 4 or 7 4 2 TIk + 7 2 Tk =…

A:

Q: Find the length of the missing leg in the triangle in the nearest tenth

A:

Q: What is the smallest altitude in the triangle with sides 20, 21, and 29. A. 21 B. (21 · 20)/29 C.…

A: Give query is to find the shortest altitude.

Q: alues of sin t and cos t, where t is the radian measure of the angle shown. xact answer, using…

A: Topic:- trigonometry ratios in right angle triangle

Q: Chang and Salma are standing on a riverbank, 170 meters apart, at points A and B respectively. (See…

A: Given query is to find measure of angle B

Q: Cualuate the tcasa infinite Sum t cos3. Cosi

A: We have to calculate the infinite sum of the series                   cos1+12cos2+14cos3+⋯

Q: Solve the equation for all degree solutions and if 0° ≤ ? < 360°. Do not use a calculator. (Enter…

A: Question- Solve the equation for all degree solutions and if   0° ≤ theta &lt; 360°. Do not use a…

Q: Eliminate the parameter t from the parametric equations x = 3 + sin t and y = cos t − 2. Graph the…

A:

Q: 52 20 Answer.

A:

Q: Let P(t) be the point on the unit circle that corresponds to t. If P(t) has the given coordinates,…

A: Let P(t) be the point on the unit circle that corresponds to t. If P(t) has the given coordinates,…

Q: How many triangles are possible given these measures for a possible triangle(s)? A =30, a =4, and b…

A: Topic:- geometry and trigonometry

Q: 1. Solve for x. X + 10 18 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: sec sin- (-) 5.

A: Given problem:- Evaluate without a calculator. Include a sketch. sec[sin-1(-3/5) ]

Q: Find sides M,n,Y,X 145 5V2 600

A: Given query is to find indicated sides.

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit…

A: