3. When instructed to find the length of ZY in right triangle YZX, Josh wrote ZY the equation sin 46 ZY while Kelly wrote cos 44 = - Are both students 7 equations correct? Explain why. 46 7

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: Question in image.

A:

Q: 4) Which setup should be used to solve for y? * 57° 15 Cos 57 = %3D sin 57 = %3D 15 15

A:

Q: Lindsay solved the equation sin x = 1 - cos x by squaring each side to obtain sin2 x = 1 - 2 cos x +…

A: Given equation, sinx=1-cosx

Q: Suppose that Ө is in standard position and y=9 &  r= 3 square root 13, use the given information to…

A:

Q: If sec A = V37 with 0° SA S 90°, find sin 2A and sin 4. sin 2A = sin

A:

Q: 3. Evaluate: z = cos? (e)

A: 3)

Q: If y = cos*[sec2 (30)], and (6 y will be equal to? 9.

A:

Q: Which equation can we use to find the length of the side labeled æ? 5 30° A cos 30° 5 B tan 30° %3D…

A: Given: To find the value x=?Opposite side=5; hypotenuse side=x

Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A:

Q: Next the equation sin r = 2 sin I + BkT where k is any integer and B = Worked Example 1

A:

Q: Solve triangle ABC if LA = 41.4, a = 186.2, and b 244.4. %3D %3D sin B = %3D

A: answer is in next step

Q: To further justify the Cofunction Theorem introduced in theprevious section, use a calculator to…

A: Evaluate: sin(24.3∘) and cos(65.7∘) The given pair sin(24.3∘) and cos(65.7∘) is cofunction of one…

Q: Without using a calculator find the solution(s) to 15=17 + cos y/7 that are in 10π and 15π.

A: We will solve using basic algebra

Q: 1. In right triangle ABC shown, AC = 12, BC = 16, and AB = 20. Which equation is not correct? 12 a.…

A:

Q: When instructed to find the length of HJ in right triangle HJG, Alex wrote the equation sin 28° = HJ…

A: adcency side/hypo = cos (angle) opposite side / hypo = sin(angle)

Q: Given z = 4(cos 35° + i sin 35°), find zº. Write your answer in rectangular form.

A: Given: z=4(cos 35°+i sin 35°)  To find: z6

Q: 4 4 cos* 0 de, correct to 4 significant figures 프4

A: The trigonometric identity is 2cos2x=1+cos2x. Use the trigonometric identity 2cos2x=1+cos2x in the…

Q: 36. If cos(30+y)-- A) B) which would be sin(30-y)? C) pr D)

A: Topic:- trigonometry Note:- as per our guideline if more than one question uploaded than only first…

Q: The imaginary part of G(jo) is equal to zero if find: w Hence, sin 0.80 + w cos 0.8@ = 0

A: Complex number Z=X+iY X=real part of complex number  Y=imaginary part of complex number

Q: What is Arg(cos ()- i sin-)) 21/3 TC 7T 37/4

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve. Given that sin 0 = 3 %3D and that the terminal side is in quadrant II, find sec 0.

A:

Q: If u(t) = (sin(7t), cos(7t), t) and v(t) = (t, cos(7t), sin(7t)), use Formula 5 of this theorem to…

A:

Q: When a and b are real, we define elatiblx with the equation ela+ ibix = eax , eibx e"(cos bx + i sin…

A: we know that am+n=am.an similarly, ea+ibx=eax+ibx=eax.eibx now, we know that eiθ=cosθ+isinθ

Q: Solve the following equations 63. y"+y = 3 sin 2x + xcos 2x

A: If   Qx=xF, where F is a function of x  then particular integral is PI=1PDxF=x1PDF-P'(D)P(D)2FAgain…

Q: 1) Evaluate. x cosh ax dx

A: As per guideline we have to solve one question

Q: If z and y are the measures of complementary angles in a right triangle such that cos y = 3/39 and…

A:

Q: Find all angles, 0° <0< 360°, that satisfy the equation below. 9 cos (0) – 2 sin(8) – 9 = 6 sin(0) –…

A:

Q: (a) (2 cos 8 – 3 sin 30) de dr CS Scannec with CamScanner

A:

Q: Assume Za is opposite side a, ZB is opposite side b, and Zy is opposite side c. Solve triangle ABC…

A: Given:   ∠A=α=44.2°b=11.7mc=16.6m To find:  a≈_____m  cos∠B=cosβ≈____  β≈_____  cos∠C=cosγ≈____…

Q: Show that the form of the Law of Cosines written 2 = a + b - 2ab cos y reduces to the Pythagorean…

A: c2=a2+b2-2ab cosγ

Q: In right triangle JKL, Which of the following 24 a. tan L = 24 b. cos L = 25 %3D C. tan] %3D 24 7 d.…

A:

Q: Suppose cos(α)=−3/4 and sin(α) is negative. If the point (−3,y) is on the terminal side of the…

A: Use trigonometric ratio  &amp; its identity

Q: 15) In right ABYE, ZY is a right angle. Cos(B) is . What is sine of ZE?

A: Sin E=Opposite/hypotenuse  Cos B=Adjacent/hypotenuse

Q: A) 16 sin37 = %3D B) cos53 16

A: Given: To find the correct equation.

Q: 3 If tant: π = and 0 < t < , find sint, cost, sect, csct, cott. 4 2 Enter the exact answers. 4 sint=…

A: Find out the trigonometric ratios.

Q: If Sin A=5/13 with A in QII, then find sec A/2

A:

Q: 4 The value of [ cos* 30 sin° 60 de is

A: We need to calculate the given definite integral for which we will use the substitution.

Q: Find the general solution: y" + 5y' + 6y = 4et cos2t + sin2t

A:

Q: 4 5. "sin? 4y cos? 2y dy

A: Substitute y=u2,dy=du2. ∫0π4sin24ycos22ydy=∫0π212sin22ucos2udu…

Q: Which equation should JK sin 24°: 28 %3D JK cos 24° 28 28

A: We know ,in a right angled triangle, the trigonometric ratio of sine function is given by:…

Q: Solve the following equation shown.

A: sin2u=15,  0≤u≤π2

Q: 2. Solve as directed and show your answers in Agand Diagram. a) (cos 45° + i sin 45°)5 b) (cis…

A:

Q: 4) Consider the following triangle 14 m 120 5m B (a) Use the cosine rule to show that a satisfies…

A: a) To use the cosine rule to show that a satisfies the equation             a2+5a-119=0…

Q: S(1) = -e" sin (21 +7)

A:

Q: Drag the label for the length of the sides of the triangle shown that would satisfy the following…

A: Given that cosB=941  and tanC=940we have to find AB, AC and BC.

Q: 8 C 17 15 A Find sin(8) in the triangle.

A: We have to find sin beta of the given triangle.

Q: By comparing e3i0 = cos 30 + i sin 30 with ( ei8)3 = ( cos 0 + i sin 0)3, find the "triple angle"…

A: Euler's rule: ei3θ = cos3θ + i sin3θ   -------------------Eqn (1) Also, (eiθ)3 = (cosθ + i sinθ)3

Q: Solve as directed and show your answers in Argand Diagram (cos 45o + i sin 45o)5 (cos 60o + i sin…

A:

Q: 2. 16 4F6 Sin O how far is the directrix from the pole poce

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.