(b) Using the Half-Angle formulas, find the function values in the following: sin? ()

Q: The terminal side of θ lies on the line y = −x in the II quadrant . Find the exact values of the six…

A: To find all the trigonometric functions

Q: If θ is acute, the Half-angle Formula for the cosine functionis cos θ / 2 = ____

A: cos2θ=2cos2θ-1⇒2cos2x=1+cos2θ⇒cos2θ=1+cos2θ2⇒cosθ=1+cos2θ2⇒cosθ2=1+cosθ2

Q: 5) Find the reference angle a and the exact function value. Do Not use a calculator. a. sin 420° b.…

A:

Q: Graph the trigonometric function  Y = 5 sin X + 3    What is the range.

A: The graph of Y=5 sin X+3 is

Q: In a right triangle, 0 is an acute angle and sin 0 = 4 Evaluate the other five trigonometric…

A: Form a triangle and compare its sides by given values and then find other trigonometric function.

Q: A. Solve for the missing side then find the six trigonometric ratios for each of the acute angle of…

A:

Q: Evaluate the trigonometric function using its period as an aid.  a. cos 3π b. sin (−8π/3)

A: (a) Cosine of an angle is positive in the first and the fourth quadrants and is negative in the…

Q: 1. Use the sum and difference identities to find the exact values of sine, cosine, and tangent of…

A: Topic - Trigonometry Identity

Q: Find sin (2)dr (hint: use a half-angle formula twice).

A: Note: sin2x=2sinxcosx  Cos2x=1-2sin^2(x) And sin^2(x)+cos^2(x)=1 by using these formulas we solve…

Q: 11a Use a half-angle formula to find sin( ) 12

A:

Q: 2. a) In which quadrants is the cotangent function negative? b) In which quadrants is the secant…

A:

Q: The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians.…

A:

Q: What is the period of the trigonometric equation? f (x) = -3 cos (. -x + 5) – 2 Enter your answer,…

A: Here I am attaching image so that you understand each and every step.

Q: Show illustration and Solve the problems using trigonometric or inverse trigonometric functions. 1.…

A: For solving this question, first of all, we can draw a standard illustration (please see step 2).…

Q: Given that cosą = - 12 and A is in the second quadrant, find this function. sece=

A: Given, cosθ=-1213

Q: Solve the problem using trigonometric or inverse trigonometric functions. Show illustration, define…

A:

Q: Given the following right triangle, find cose, sine, tane sece, csce and cote.

A: Given:

Q: 11. Find sine, cosine, and tangent of 75° using the half-angle formulas.

A: to find sin 75°, cos 75°, tan 75°Methodsin 75°, cos 75°, tan 75° by using half angle formulasi.e…

Q: Consider this right triangle. F E Select all trigonometric functions that are equivalent to the…

A: To select all trigonometric function that are equivalent to the ratio xy

Q: In a right triangle, sin(x)-8/17. What is cos(x)?

A:

Q: – 5) Simplify sin (t to a single trig function using the sum or difference of angles identity.

A:

Q: At what angles (given as rational multiples of p) can you determine the exact values for the…

A: We know that, not all angles allow for you to solve their exact values with respect to the…

Q: Jse a half-angle formula to find the exact value of sin sin 8. -

A: Half- Angle formula is given bysinθ2=±1-cosθ2

Q: .Find the exact values of the trigonometric functions applied to the given angles by using the…

A:

Q: Find the value of the trigonometric ratio sin (5 pi/ 3)

A:

Q: Use the graph of a trigonometric functionto aid in sketching the graph of the equation without…

A: Solution: Consider we have given that the trigonometric function : y = -cos x + 1 We start the…

Q: 2. Draw a triangle that you would need the tangent function to solve. Don't forget to indicate where…

A:

Q: It is a trigonometric ratio that shows the relationship between the opposite and adjacent side of an…

A:

Q: What type of function is this? Cosine or sin? What is the period?

A: To determine whether the given graph is of sine or cosine function. Also finding the period of the…

Q: New Give the answer to the trig function and the quadrant where the angle terminates. sin- 6. -

A:

Q: Find a possible formula for the trigonometric function whose values are in the following table. 1 3…

A: Let us plot the points given:

Q: Simplify the there are no trigonometric expressions. following function until Sin (arcos x) =

A:

Q: Use identities to find values of the sine and cosine functions of the function for the angle…

A: Given tanx=3  and cosx<0By quotient identity ,sin xcos x=31⇒sin x 3=cos x1=±132+12⇒sin x3=cos…

Q: 16.  Given that tan  θ = - 4/3 and θ is an acute angle, find the other 5 trigonometric function…

A: Consider the following value: tanθ=-43 θ is an acute angle. Hence, θ lies in first quadrant. Values…

Q: dx Use the formulas discussed in the lecture to convert the trigonometric function into the correct…

A:

Q: 7-find the function values by using Double-angle formula cos A)

A:

Q: Given the following function, choose the graph with the two possible angles with the domain O <…

A: Let us first solve sinθ=-23. So,           sinθ=-23⇒θ=arcsin-23+2πn, θ=π+arcsin23+2πn⇒Radians:…

Q: Solve the ff. problems using trigonometric or inverse trigonometric functions At what point on the…

A: We have to find the point on the line y = b at which the line segment from (0, 0) to (a, 0) subtend…

Q: Use the graph of a trigonometric functionto aid in sketching the graph of the equation without…

A: Given function is, y=-sinx-2. The graph of y=sinx is shown below:

Q: Find the period of the trigonometric function g(x) = 2 sin()

A: Given data: The expression for the given function is g(x)=2sin(x/2). The standard expression for the…

Q: What is the period of the trigonometric equation? f(x) =D -8 sin (끌x+ 증) +4 5л %3D 6. Enter your…

A:

Q: of the angle (in standard position) whose terminal side passes through (12, -5). tan θ= ______? a.…

A:

Q: Use the function value to find the indicated trigonometric value in the specified quadrant. Function…

A: Given for θ in 4th quadrant ,sin θ=-35

Q: V13 and Find the exact values of all the trigonometric functions of t if sint =-- 7 sect <0 .

A: Use Pythagoras theorem to solve and use trigonometric ratio

Q: In a right triangle, 0 is an acute angle and sin 0 = . Evaluate the other five trigonometric…

A:

Q: Use the half-angle formula to find the exact value. cos 15°= ロロ ローロ X.

A:

Q: The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians.…

A: Given: The angle of elevation from the top of a house to a jet flying 2 miles above the house is x…

Q: The terminal point P(x, y) determined by a real number t is given. Find sin(t), cos(t), and tan(t).…

A: Given terminal point, P(x,y)=941,4041