- (a cot e- b csc U) = a-b ..... uare each term on the left side of the identity and simplify by combining like terms. Do not apply any trigonometric identity. ? csca+b cot'0-a' cot?9-b csc'o ctor out a-b from the expression from the previous step. Enter the factored expression below.

Q: The left side is more complicated, so start with it. Use a Pythagorean identity to simplify 4 cos? B…

A:

Q: If sine = , then cose =. 5 13 О а. 12 13 O b. 12 O c. 5 13 O d. 13

A:

Q: Given sin 0 = - and angle 0 is in Quadrant III, what is the exact value of cos 0 in simplest form?…

A:

Q: By using Trigonometric identities, find the exact value of the expression. cos (120° – 45°). A 4 B)…

A: cos120°-45°

Q: What quadrant is terminal side of A located within, given that cos 0 < 0 and tan 0 < 0? O Quad I O…

A: We need to find the quadrant in which θ lies.

Q: Use the power-reducing identities to rewrite each expression to one that contains a single…

A: Given that, the expression is

Q: Verify the identity. (4 sin 0+4 cos 0)² = 16 + 16 sin 20

A: Pythagorean Identity : sin2θ + cos2θ =1 Double angle identity : sin(2θ) = 2*sinθ*cosθ

Q: 40 Use a Pythagorean identity to find the value ot 58 Suppose ABC is a right triangle, and the…

A:

Q: In the expression 1/(x² + 7)?, replace x by V7 tan 8 and show that the result is (cos“ 0)/49. Make…

A:

Q: Perform the operation and leave the result in trigonometric form. (Let 0 s 0 < 360°. 72(cos 95° + i…

A: We have to simplify

Q: 32 - a = sin70, b = cos170, c = tan270, d = cot570 What are the signs of the trigonometric numbers…

A: a = sin70 b = cos170 c = tan270 d = cot570

Q: Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Use the Pythagorean…

A:

Q: Use the double angle formula to find the exact value of 2 cos² ETOO 1

A:

Q: fies the equation sin 47° Co ( %3D

A:

Q: Which of the following should be avoided when proving a trigonometric identity? a. rewriting all…

A: We can answer it as below.

Q: Verify the identity by working the right side: sin? (플) csc2 -cot? z 2 csc2 x+2 csc x cot x

A:

Q: Write 1 and z, in trigonometric form and find their product. z, - - 1+i3, z, - 1- i3 2(cos 30° + i…

A: Given z1= -1+i3 and z2 = 1- i3  Here we have to write z1 and  z2 in trigonometric form and find…

Q: 2 sin(8) + 1 = 0 rad

A: Given data  Trigonometric equation  2sin(theta)+1=0 Here theta=?(radians) Modify the equation and…

Q: 9) tan? 0 – cot? 0

A:

Q: 14) Simplify the trigonometric expression. cot 0 CSc e coto coso cos0 sino coso %3D II

A: We have to find out

Q: Solve the question by Trigonometric Identities ? S dan? x Seck ofx

A:

Q: A.) Which other way of expressing the trigonometric identity? cos2x+sen2x=1   B.) Explain how to…

A:

Q: By using Trigonometric identities, find the exact value of the expression. cos (120° – 45°). A 4 в)…

A:

Q: Prove that the following identity is true. cot ? cos ? + sin ? = csc ? We begin by writing the left…

A:

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, withC = 90 degree, if a…

A: In triangle ABC, C=90°, a=5 &amp; b=12. That is, Now by using Pythagorean theorem in triangle ABC,…

Q: What trigonometric substitution should be used to evaluate ? A x=3 sec® B x=3 tan0 x= 3sin0 D) None…

A:

Q: Derive the Law of Cosines from the Pythagorean Theorem.

A: Consider the following figure: BC=aAB=bAC=cCD=a-bcosθ

Q: Without using a calculator, compute the sine and cosine of 3π43π4 by using the reference angle. Give…

A:

Q: Establish the identity. (a tan 0+b sec 0) - (a sec 0+b tan 0)? = - a? +b2 %3D Square each term on…

A:

Q: Which is NOT a trigonometric identity? O csc 0- cot0 1 O sec? 0- tan e 1 O sin? e+ cos 0-1 O sec? 0…

A: The value of sec2θ=1cos2θ and csc2θ=1cos2θ.

Q: Verify that the equations below are trigonometric identities. 4. cot 0+ tan 0 = 2 csc 20

A: Given Data: Equation: cotθ+tanθ=2csc2θ Some important rules of trigonometric identities are listed…

Q: Complete the following table. Use the 30°-6°-90° and 45" - 45 -90 triangles. Do not use a…

A:

Q: 2. Find the values of the six trigonometric functions for angle 0, when AC= 10 and BC= 8.

A: Given: AC=10 and BC=8 To Find: The values of the six trigonometric functions

Q: 2. Find the exact value of all six trigonometric functions for the angle B in: B

A:

Q: Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the…

A:

Q: 1. sin(R) = 73 2. cos(R) = 55 3. tan(R) = 48

A:

Q: 3. Which expression is equal to SC S using identities? cot x+tant O cos? x sin 2 O - sin? 2 O - cos?…

A: Use trigonometric identities to solve the problem. Use sin2x + cos2x = 1 and secx=1/cosx

Q: Use the given information to determine the values of the remaining five trigonometric functions.…

A: Solution ) sin A = 3/5 We know sin2 θ + cos2θ = 1 1)cos θ = √( 1 - sin2θ) cos θ = √( 1 - ( 3/5)2)…

Q: Use the given point on the terminal side of the angle 6 to find the trigonometric function…

A:

Q: Given that 0 = 1, which of the following shows that sinecsce = 1?

A:

Q: ind the remaining trigonometric ratios of θ based on the given information. csc θ = 2 and cos θ is…

A:

Q: O is an angle in standard position whose terminal arm is in quadrant III and Sin 0 3 Find COs O V13

A: Solve the above problem.

Q: sin0 12) 1+ sin0 cot0 – cos0 cos 0

A:

Q: Find the six trigonometric function values of the angle 0 in standard postion, if the terminal side…

A:

Q: 3 cot“ 0 +11cot² 0 – 4 3csc? 0 – 4 .2 -

A: We know cot2θ = cosec2θ - 1, substitute this in our expression and we can simplify the expression…

Q: Use the given Information to determine the remaining five trigonometric Values. Rationalize any…

A:

Q: Then find the values of the six trigonometric functions for angle B. Rationalize the denominators…

A: Use pythagorous theorem

Q: If x= tane, then cost do by trigonometric substitution. dr = (1+x2) ½ True B) False

A:

Q: cot? 0 3) Use the fundamental identities to simplify the expression: csc2 0

A:

Q: Use the information given about the angle 0, cot 0= - 11, sec 0<0, 0s0<2x, to find the exact values…

A: