-3 -2 3.

Q: Prove the following: cos ^2+ tan^2=1

A: given:

Q: photo is attached

A: To sketch the graph of the given parametric equation.

Q: 4/3x+9+2/3 divided by 2x/x+3+3/2

A: Consider the following:As per the question statement, the given division problem can be written as,

Q: The Earth completes one full rotation around its axis (poles) each day. (show all work) a) Determine...

A: 1 day = 24 hours1 full circle = 2pi radian

Q: A force of 18 lb is required to hold a 71​-lb crate on a hill. What angle does the hill make with th...

A: Let a body of mass is m and it is placed on the hill. And the hill makes an angle with the horizonta...

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10 degr...

A: Given,The speed of pilot is 620 mi/hThe pilot flies in a straight path for 1 h 30 min.After 1h 30 mi...

Q: Prove each of the following Trig identities 1-3CosA-4Cos2A/Sin2A =1-4CosA/1-CosA

A: Prove the following Trigonometric Identity.

Q: Determine all solutions in the interval [0,2pi):     cos(x+pi)-cosx-1=0 There was no pi symbol so pi...

A: cos(x+pi)= -cosx by supplement angle identityThen combine terms

Q: photo attached

A: Given:For a triangle ABC, its sides are given by a = 13 in., b = 28 in., c = 40 in.

Q: Find exact value of other functions given CSC theta equals -7 / 4 in theta in quadrant 3 use identit...

A: The given trigonometric function value in quadrant 3 is,

Q: Sin-1x - tan-1 square root three= - pie divided by 4

A: Given,

Q: Find the smallest positive angle between the given pair of vectors. (3,1) , (4,6)

A: Consider the given vectors:

Q: Find the values of the trigonometric functions from the given information. Given csc θ= -sqrt26/5 an...

A: Given:

Q: For Exercises 111–114, use the relationship given in the right triangle and the inverse sine, cosine...

A: Consider the given right angle triangle.

Q: 99. In the closed interval from 0 to 27, the graph of y = 2sin? reaches its maximum value at %3D c) ...

A: Given,

Q: if cos beta = 2/5 and beat is the 4th quadrant, find sin beta

A: Given,  

Q: Showing all necessary steps, establish the identity: (1/(1+sec(x)))+(1/(1−sec(x)))=−2cot^2(x)    (As...

A: To Prove:

Q: How do you solve these questions and can you show me step by step how you got it?

A: Note:We’ll answer the 6th question since we answer only one question at a time. Please submit a new ...

Q: 6cos-1x=pie

A: Given,

Q: photo is attached

A: Given:

Q: Use the half-angle formula for tangent to compute tan(θ/2) given tan(θ)=67/44 where 0<θ<π/2. (...

A:

Q: Evaluate the trigonometric function using its period as an aid. sin (-8pi/3)

A: Given,

Q: (7cosx-sinx)2 + (cosx+7sinx)2 = 50 Verify the identity.

A: Given,

Q: Find the exact value of each expression without the use of a calculator.  tan π/6 x(times) csc π/4

A: Find tan pi/6 using unit circle

Q: In the following examples, some mistakes have occurred. Identify the mistakes and make corrections.

A: The given function is,

Q: 85. Evaluate cos (90° – sin-1) a) + V15 2-V15 b) unde fined c) +V15 4-V15 2-V15 d) + e)

A: Given:

Q: #51 please

A:

Q: Let 0 be an angle in quadrant II such that tan 0 = Find the exact values of cos0 and csc0. cose csce

A: Given the value in second quadrant,

Q: i don't know how to get the period for this question.

A:

Q: Find sine, cosine, and tanget of the angle -135°

A: Given angle is -135°

Q: whats the inverse of y=7x+9

A: Find the inverse of y =7x+9

Q: For Exercises 43–46, given the values for sin t and cos t, use the reciprocal and quotient identitie...

A: Consider the given trigonometric function sint and cost.The other trigonometric functions values are...

Q: photo attached

A: Find the following scalar multiplication of a vector:

Q: Find all solutions of cos(x)+1/2sec(x)=−3/2 in the interval [4π,6π]. x=(Leave your answers in exact ...

A:

Q: Express the given product as a sum or difference containing only sines or cosines. cos(6x)cos(8x)

A:  

Q: Find the exact value using half-angle formulas. 7 cos(7π/8)

A: Recall the following facts.

Q: Consider the following. Square roots of −49i (a) Use the formula zk = nth root r [cos ((θ + 2πk ) /...

A: Given a complex number -49i

Q: For the expression that follows, replace x with 30° and then simplify as much as possible. 8 cos(3x ...

A: Given expression is,

Q: Consider an angle θ in quadrant 1 with reference angle 3/8π. Assume θ is obtained by rotating clockw...

A: Given an angle θ in quadrant 1 with reference angle 3 π /8 and θ is obtained by rotating clockwise 7...

Q: Suppose that 90 degrees <θ< 180 degrees. Cot (θ +180 degrees)

A: Given

Q: If , AC = 2 and the angle ß = 40°, find any missing angles or sides. Give your answer to at least 3 ...

A: In the below triangle it is given that AC = 2 and ß = 40°

Q: Cos 75°29' cos 14°31' - sin 75°29' sin 14°31'

A: Consider the given expression,

Q: How do you solve this and can you show me step by step?

A: If we dont restrict the domains of trigonometric functions then they are not one-one and so inverse ...

Q: Use the equivalent forms of the first Pythagorean identity. e and 0 terminates in QI. Find sin 0 if ...

A: Given:

Q: A cruise ship maintains a speed of 15 knots (nautical miles per hour) in going from San Juan to Barb...

A: Given A cruise ship maintains a speed of 15 knots (nautical miles per hour) in going from San Juan t...

Q: How do you solve this and can you show me step by step?

A: To determine the value of b and c.

Q: Find the period, amplitude, and phase shift of the function.   y= -3 - 4 sin( 3x - (π/4) ) Give the ...

A:

Q: Calculate the height that we can reach with a 3m ladder leaning against a wall if the bottom of the ...

A: First we consider a triangle ABC, in which the height of AB = a, BC = 3m and AC = 7 cm So, the trian...

Q: the angle of elevation from point a to the top of the tower is 32.1 degrees. From point b, which is ...

A: The given information is shown in the following figure.

Q: Find all solutions of tan(3√x−5)=1 where k ∈ Z. (Notation: k ∈ Z simply means that k can by any inte...

A: Given:

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.