Item 57 refers to the following diagram. 35 12 m Y The diagram, not drawn to scale, shows that the angle of depression of point X from Z is 35°. If X is 12 metres from Y, the height YZ, in metres, is (A) (B) (C) (D) 12 cos 35° 12 sin 35° 12 tan 35° 12 cos 55°

Q: Use the given information to find the missing ratio. 2 a) csc a, if sin a = 3 b) cot a, if tan a = 5…

A: a. We know the realtion between cscα and sinα is cscα=1sinα Then, we have given  sinα=23 Therefore,…

Q: Given that sin(0) = R, and 0 is in Quadrant II, what is cos(20)? %3D

A:

Q: Given tan 0 = V3 and you are in Quadrant III , find the exact value of csc 0

A:

Q: Given that tan 0 = – and that angle 0 terminates in quadrant II, then what is the 8 15 - value of…

A:

Q: Refer to the figure for Problems 1-4. AB is tangent to OC at point B and AD is tangent to OC at…

A: 3.ans In ∆BDA, AB=AD , Because tangent Angel BDA + angel DBA + 40° =180° => X+X = 140° => X =…

Q: Which of the following is the correct solution to the given problem below? Haleakela is a 10,000…

A: Haleakela is a 10,000 foot high valcano.The peak is a horizontal distance of 30,000 feet from the…

Q: Suppose you know that, for a given right triangle and acute angle 0, cos(0) = 2/5. Give the exact…

A:

Q: Given that sin 0= and 0 is an acute angle, find the value of cot 0+ cos e.

A:

Q: Given that sinθ= 5/13 and that angle θ terminates in quadrant II, then what is the value of cos θ?

A:

Q: Given that tan 0 12 %3D 5 and that angle 0 terminates in quadrant III, then what is the value of cos…

A: Use pythagorous theorem

Q: Use the given below to answer #s 33-35 40 and 0 is in Quadrant IV, then sin 0 =and tan 0 = 6. If cos…

A:

Q: Item 59 refers to the following diagram of a right-angled triangle. 12 59. From the diagram above,…

A: 59. Use Pythagorean formula to find the length of AC.

Q: Given that cos A =-9/41 and that angle theta terminates in quadrant II, then what is the value of…

A:

Q: 1) * a) Complete each equation. sin 0 = cos 0 = た tan 0 = k b) If k = 9.4 and f = 12.7, what is the…

A:

Q: 12 Given that cot(0) = = and 0 is in Quadrant III, find sec(0) and csc(0). %3D

A:

Q: 1. Write a list of angle degree measurements between 0° and 180° whose sin value can most easily be…

A:

Q: Given that cos 0 terminates in quadrant I, then what is the 40 41 A and that angle 0 value of sin 0?

A: See the answer below

Q: Given that cos 0 12 %3D 13 and that angle 0 terminates in quadrant IV, then what is the value of sin…

A:

Q: Given that θ is an acute angle and cos θ = 7/25, find: a) tan θ b) sin θ c) sec θ

A:

Q: Given that sing 4/5 and e lies in quadrant II, find the following value. %3D tane -4/3 -3/4 4/3

A: Solution is given below:

Q: Given that the point (60, 11) is on the terminal side of an angle, 0, find the exact value of the…

A: According to given, x-coordinate= base=adjacent= 60 y-coordinate= height=opposite= 11 By using…

Q: Given that tan 0 8 15 and that angle 0 terminates in quadrant IV, then what is the value of cos 0?

A: tanθ=-815 θ  terminates in IV quadrant and secθ and cosθ both will be positive in IV quadrant

Q: Given that sin 0 = 25 and that angle 0 terminates in quadrant IV, then what is the value of cos 0?…

A: sinx=P\H cosx=B\H

Q: Given that csc(0) = and 0 is in Quadrant II, find sec(0) and tan(0). 13 12

A:

Q: Given that is a third quadrant angle and what is the exact a COs a = - 5 value of sin(2a) 24 25 -7…

A: As we know that the trigonometric quantity : sin(2θ)=2sin(θ)cos(θ)

Q: Given that sin A = -3/5 and the terminal side of A is in quadrant 3, find the exact value of…

A: In the 3rd quadrant both sine and cosine will be negative.

Q: A line makes the same angle e with each of the X- and Z- axis. If the angle B, which it makes with…

A:

Q: QUESTION 18 25.62 mm -42.45 mm Determine angle y in the accompanying figure. Round to the nearest…

A:

Q: Question 12 Determine the value of angle A that corresponds to csc A=1.7320. Round the answer to the…

A: Given that  cscA = 1.7320

Q: If cos θ = 1/6 and θ is acute, find cot (π/2 - θ).

A: We have to find cotπ2-θ if θ is acute and cosθ=16 We know that ratio of cosine function is base to…

Q: Question 12 In order to safely land, the angle that a plane approaches the runway should be no more…

A:

Q: Question 3 of 15, Step 1 of 1 2/ 15 Correct Determine in which of the four quadrants angle 0 is…

A:

Q: Given that cos(0) = 2/5 and 0 is in Quadrant. 5 II, what is cos(20)?

A: According to question given thatcos(θ)=-255

Q: Given that cos(0) = - and 0 is in Quadrant III, find csc(0) and cot(0) | 13

A: cos(θ)=-1213 θ is in III quadrant. Calculate sinθ…

Q: Consider an angle with an initial ray pointing in the 3-o'clock direction that measures θ radians…

A:

Q: Given that, sin⁡x=a where x is in quadrant I. What will be the exact value of sin(x+π/6) in terms of…

A: Given:

Q: If cos(t)=4÷5 and t is in quadrant one then what is the value of sin(t)

A: cos(t)=45sin(t)=?

Q: Item 57 refers to the following diagram. 35 12 m The diagram, notdrawn to scale, shows that the…

A: The given figure is as follows since alternate angles are equal therefore the marked angle ZXY is…

Q: For positive acute angles A and B, it is known that tanA= 45/28  cosB= 7/25 Find the value of…

A: To find the value of sin(A+B) we use the formula sin(A+B)= sinAcosB + cosAsinB

Q: In the figure below, P(x; 24) is a point such that OP = 25 and RÔP = B., where ß is an obtuse angle.…

A:

Q: Given that csc(0) = -V5 and 0 is in Quadrant IV, what is tan(0)? Write your answer in exact form.…

A:

Q: Given Hlat Cos a= , and Sin /s , and Sin aco a) Sketch the reference triongle for angle Now Use…

A:

Q: Given that terminal side of angle 0 is in quadrant IIII and that tan(0) V3 find the exact values of…

A: We are given tanθ=35 in quadrant IIII. In quadrant IIII, cosine is positive and sine is negative.…

Q: Given csc( a ) = 29/20 and angle a is in quadrant II. Find cos( 2a ).

A:

Q: 3 5' 2 < x <T, find the exact value for each trig half-angle. Given sin x = sin (클) ㅋ Cos

A:

Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

A: The figure is and solution is shown in step. 2

Q: Given that sin(theta)=3/4 and theta is in quadrant 3, find the exact value of the following a.)…

A: To find the value of the trigonometric ratios

Q: Given that cos θ = 5 13 and θ is in quadrant IV, find the exact value of tan (θ 2)

A: Concept:

Q: Given that sine = 3/5 ande lies in quadrant II, find the following value. cote 3/4 4/5 -4/3

A: Given: sinθ=35 and θ lies in quadrant II.

Q: Given that the point (60, 11) is on the terminal side of an angle, 0, find the exact value of the…

A: Firstly we need to find angle.

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.