Solve using derivatives of trigonometric functions. Provide illustrations. A gutter having trapezoidal cross-section is to be made by bending a strip of tin 1 meter wide. If the width of base is 50cm, what width across the top gives the greatest carrying capacity?

Q: 4. Find the exact value of the indicated trigonometric function using the unit circle. sec(300°)

A: Topic- trigonometry

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A: By using circle property, we calculate the value of 'x'.

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A: Dear student as per our rule in one session we can only solve questio. Please post the other…

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Q: Use a calculator to find the following. Round your answers to four decimal places.      tan 420…

A: Given:  tan420°tan360°+θ=tanθ

Q: Given the diagram below. Which trigonometric function would you use to solve for side x? a) Sine b)…

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Q: IfØ is the angle between a line through the origin and the positive x-axis, the area, in cm?, of…

A: Given that: A=3θ+4sinθ+12sin2θ Therefore, rate of change of area charging is as following: dAdt.…

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Q: 1. In ATRY, ZY is a right angle and sin R= -. What are the cosine and tangent of ZT ? Write your…

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

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Q: We fire a ball from the origin with initial speed of 50 m/s with an angle of 0.9273 radians. Assume…

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Q: From the information given, find the quadrant in which the terminal point determined by t lies.…

A: topic- trigonometric ratios quadrant sin(t ) tan(t) l + + ll + - lll - + lV - -

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Q: Suppose that 13 is a point in Quadrant IV lying on the unit circle. Find y. Write the exact value,…

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Q: The sine of an obtuse angle is 0.53. Calculate the tangent of this angle to 4 decimal places.

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Q: 8. sin(t) > 0 and cos(t) < 0

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Q: List a value of X in quadrant ii that makes csc(x)=2 . Explain how you got your answer.

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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.