The inverse sine function has a range -; Arccos (-) = -120° . The sine function is one-to-one on the interval -, . The largest positive value of y = arcsin x is 1. VI

Q: 8. If sin 0 E and tan 0 -E, find sec 0.

A: Given: sinθ=513 and tanθ=-512. To find: secθ Solution: We have, sinθ=513 and tanθ=-512 We know that…

Q: Using an appropriate identity, find the exact value of cos(195°). Decimal approximations will…

A:

Q: Given that cosx = 0.6691, approximate the given function values. Round to 4 decimal places. a. sinx…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 4) Simplifying the Trigonometric ldentity tanx cosx

A: Explanation of the answer is as follows

Q: True or False Exact values can be found for the sine of anyangle.

A: Exact values can be found for the sine of any angle.

Q: What is the range of the sine function?

A: We know, domain of sine function is all real numbers. Also, -1≤sinx≤1 ⇒range of sinx is [-1,1].

Q: 3 If cos(x) (in Quadrant-I), find 20 cos(2x) = (Please enter answer accurate to 4 decimal places.)

A:

Q: If we know the values of sin(x) and cos(x), we can find the value of sin(2x) by using the…

A:

Q: 1 Show that +. cos a sina 1 + cosa 1 + cosa

A: To proof: ±1-cosα1+cosα=sinα1+cosα

Q: 11.) cos os (sin-1 -tan-1%) 12.) tan (arccos %- arcsin (-12/13))

A:

Q: Find the exact value of cot[sin-1 (-1/3)] .

A:

Q: cos (arctan S (B) - arcsin (3)) - 5 5

A:

Q: How do you find arctan(tan^-1) of  the asolute value of the square root 3

A:

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 19 Period: 4…

A: Given that we need to find the equation of sine function whose  Amplitude = 19 Period = 4…

Q: What function of Sine is equal to the Cosine 28? O Sine 28 O Sine 90 O Sine 60 O Sine 62

A: We use allied angle formula of trigonometry.

Q: The largest possible value for the sine or cosine function is _______ and the smallestpossible value…

A: The largest possible value for the sine or cosine function is _______ and the smallest possible…

Q: prove that sin x is a perodic function .Also find its period

A: Let the function sin x is a periodic function with period p.

Q: Find all exact solutions to the equation arcsin(2x)+arccos(x) 6 X=

A:

Q: Using Newton's method, find the root of the equation cos x = 2x near x= 0.5. With an approximate…

A: we have to find the root of the equation cos(x)=2x near x=0.5 so for Newton's method we have…

Q: A sine function has an amplitude of 3, a period of n, and a vertical translation of 1 unit up. If it…

A: We have formula y=Asin(B(x+C))+D                        (1) Where A is amplitude, 2πB is period, C…

Q: _14. sine=.4379 find e to nearest degree.

A:

Q: 1. A mouse wheel is 16 cm in diameter and the base of the wheel is 2 cm off the ground. If the…

A: Given: Let us consider the given data, Diameter=16 m Base=2 cm Time=14=0.25 sec Lets determine the…

Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

Q: Since sine is an ---Select---v function and cosine is an -Select--- v function, we have the…

A:

Q: Find the function value using coordinates of points on the unit circle. Give an exact answer. sin 3

A: At any point on the unit circle, the x coordinate is equal to the cosine function and the y…

Q: 14. What is the mathematical relationship between sine and cosecant, cosine and secant, and tangent…

A: In this question we have to tell the relationship between these trigonometric ratios. Lets take…

Q: A ray from the origin to the point (2, –3) makes an angle A in standard position. | Find the sine of…

A: The given point 2,-3

Q: 16. Give the amplitude of 35 --+-sin| 4x 53 17. Give the period of y = -4 cot (2x + 3n).

A:

Q: Which functions have a period length of 2? cosecant secant cosine sine O cotangent tangent

A: Given The function have a period length of 2πb.

Q: Evaluate the trigonometric function using its period as an aid. sin() 4

A:

Q: Find a formula for tan(arcsinx), for |x| < 1-

A:

Q: 3. Find the area of one of the sine curve.

A:

Q: Show that cosine is an even function and sine is odd.

A: We have to prove that f(x)=cos(x)  is an even function and g(x)=sin(x) is even function .

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at x = . What are the…

A: The terminal side of an angleintersects the unit in the first quadrant at Now if (x, y) is any…

Q: a tangent line to approximate the value of sin( + to three decimal places.

A: Let f(x)=sinx. We have to use the tangent line to approximate the value of sinπ4+1100. The formula…

Q: A sound frequency wave has an amplitude of 2 units and a period of S. What is the equivalent sine…

A:

Q: Your neighborhood movie theater has a 25-foot-high screen located 8 feet above your eye level. If…

A: Given, The height of of screen is 25 feet located 8 feet above eye level and viewing angle θ is…

Q: The exact value of sin(Pi/3) please show your work

A: We to find the exact value of sin(Pi/3)

Q: What is the value of 2(Arc sin1)

A: Given,          2arcsin1

Q: The value of sin7n from the unit circle is (0,1) '† (1,0) (-1,0) (0,-1)

A: Consider the unit circle given below :

Q: A ladder 12 m long rests against a vertical wall. Let theta be the angle between the top of the…

A:

Q: 1- sine sece – tan 0 Cos e

A:

Q: 1. Use de Moivre's theorem to express sin50 in terms of powers of sine.

A:

Q: The base of an isosceles triangle is 8 inches, and the altitude is increasing at the rate of 2…

A: The rate of change of a function y=f(x)  with respect to x is f '(x)

Q: Find the value of sin(arcsin(7/25)+arccos(4/5))

A:

Q: The terminal side of an angle O in standard position intersects the unit circle at point (-,-). What…

A: Q7) The terminal side of an angle θ in standard position intersects the unit circle at point…

Q: The terminal side of angle 0 intersects the unit circle in the first quadrant at x = . What are the…

A: Trigonometric functions on the unit circle: If a point (x, y) is on the terminal side of an angle θ,…

Q: By using the graph of function y= sinx, which is below, graph one 2(x+). = sin period of function y…

A: This question is based on Sinusoidal function.

Q: What tyfe of fundion is 4= COS0 +Sine e.g. power Function?

A: