A city averages 14 hours of daylight in June, 10 hours in December, and 12 hors in both March and September. Assume the number of daylight varies sinusoidally over a period of 1 year, Write an expression for n, , the number of daylight, as a trigonometric function of t. Let t be in months and t-0 corresponds to January.

Q: use an identity to write the exression as a single trigonometric function or as a single number.…

A: Simplification of trigonometric ratio

Q: V2 2. 2.

A:

Q: Evaluate the following expressions exactly. (a) arcsin( – 1) = (b) arccos( – 1) = (c) arctan( – 1) =

A: See attached file for a step by step explanation to find the required expression values.

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A: Cot(x)= Cos(x)/Sin(x)

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A: If y= A sin(Bx+C),then Amplitude -APeriod : 2πB .

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A: Our Aim is to derive the identity for tan α-β using the formula for the tangent of the sum of two…

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A:

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A: We will see that we have the following restrictions on domain of the function

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A: The objective is to find the function value, sin3π2 without using a calculator.

Q: Find a possible formula for the trigonometric function whose values are in the following table. 0…

A: Given query is to find the trigonometric functions from the table given.

Q: For 180° < 0 < 270°, which of the primary trigonometric functions may have negative values? O tan 0…

A: Solution:

Q: Find the following function values without using a calculator.

A: Find the following function values without using a calculator.         sin7π4

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A:

Q: sin (- ): %3D 4 II

A: Since you have asked multiple questions in single request  so we  will be answering only first…

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A: It is known that  csc x = 1/sin x

Q: Find the following function values without using a calculator.

A:

Q: Let  cos x = 1/ sqrt 17  with x in QIV and find the following. cot 2x

A:

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A:

Q: If the function y period 2, then A = A sin (wx), A > 0, has amplitude 3 and and w =

A: To fill in the blanks

Q: Determine the exact value of the following: tan () – sin () cot ()

A:

Q: Find the remaining trigonometric functions of θ based on tan θ = a/b where a and b are both positive

A: To find remaining trignometric functions.

Q: Evaluate each trigonometric function. Round your answers to four decimal places. (a) tan /9 (b) tan…

A: Given: tan19, tan109 we know that by using calculator tan19=0.11tan109=2.02

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A:

Q: (a) tan(sin (-

A: Explanation of the answer is as follows

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A: Draw the graph of sec(x) To find the value of sec(x) as x tends to (π/2)-

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A: Given:- csc600° To find:- value of csc600°

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A: Given   Sinx

Q: The input to a trigonometric function is formally called the _______ of the function.

A: Given- The input to a trigonometric function is formally called the _______ of the function. To…

Q: Evaluate the given function ſ tanøsec?ødø

A: Hence, the correct answer is option (d)

Q: Homework Conformation.

A:

Q: find the exact value of tangent of pi/12

A: Given:  We have to find the exact value of the tangent of π12 We write π12 as π3-π4

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A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find a formula for the trigonometric function shown in the graph. f(t (2,-3) f(t) =

A: Solution:- We have to find the trigonometric function as shown graph.

Q: Complete the statement by referring to a graph of a trigonometric function.

A: Here we have to complete the statement by referring to a graph of a trigonometric function.  a) As…

Q: Find the exact value of tangent of pi/12.

A: The given expression is tanπ12.

Q: entify the other five trigonometric functions if sec A =- 3 and tan >0

A: Given query is to find trigonometric functions.

Q: Simplify cos(x – or difference of angles identity. T) to a single trig function using the sum

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Q: Suppose a sine function has a minimum at (,-4) followed immediately by a 6. maximum at (, 2). What…

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A: Some trigonometry identities are cos x-y=cos x cos y+ sin x sin y 2 sin x sin y= cos (x-y)-cos(x+y)…

Q: Evaluate the six trigonometric functions of d.

A: Given that, θ=2π3 To evaluate, sin2π3, cos2π3, tan2π3, cosec2π3, sec2π3 , cot2π3 Since, θ=2π3 lies…

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A:

Q: Which of the six trigonometric functions are not defined at p/2?

A: The six trigonometric function are, sine, cosine, tangent, cosecant, secant and cotangent. The…

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A:

Q: Suppose that Tammy's blood pressure can be modeled by the following function. p (t) = 91 +24 cos (89…

A: Given,        p(t)=91+24cos(89πt)

Q: Which of the following six trigonometric functions are we able to integrate ?

A: six trigonometric functions that can be integrated are