9. Prove each identity. cos 0 COS sin 0 = 1 – tan 6 a) cos² 0 + sin 0 cos 0 %3D b) tan? x – sin? sin? x tan x %3D - 1 --1 – cos² x cos“ x c) tan? x – cos²x = 1 1 d) 1 + cos 0 %3D 1 cos 0 sin 0

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A: we have the complex number as13ei

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A: given problem is solved below in detail.

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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A: Solution: Given data, y = -cot(X); [-π,π]

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Q: 3. Find the exact value of the expression using reference triangles. sin (csc-15 Cos-

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A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

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A: Consider below parts of the polygon to find total area÷

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A: What is the slope of the graph y = -x² at x = 3?

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Q: Sこ7S50t 450(フ7) S=75 5o + 495 S-8045 %3D

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Q: 10. If your classmate is 6 feet tall and casts a shadow of 4 feet at the same time that the flagpole...

A: Topic = Triangles

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Q: Verify the identity tanB+cotB=2csc2B

A: This question is related to trigonometric identities, we will solve it using given information. 

Q: Find the maximum or minimum value of the function. f(x) = 9 − 2x − x2 Is this a maximum or minimu...

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Q: n the diagram, AB 12. Find AC and BC Write your answers in si: 600

A: Sin60° = perpendicular / hypotenuse       √3/2       = AC/AB        √3/2     = AC/12 AC = 6√3

Q: Use the Law of Cosines to find the remaining parts. 1. m<A = 133 b = 12 c = 15 2. m<C = 60 a = 15 b ...

A: 1. m∠A = 133b=12c=15Using cosine Law,a2 = b2 + c2 - 2bc cos Aa2 = 122 + 152 - 2(12)(15) cos 133a2=61...

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A:

Q: n the Question, A bacteria starts with 580 bacteria and grows at a rate proporational to its size. A...

A: Given that bacteria grows at a rate proportional to its size means that growth of bacteria follows e...

Q: 9. Solve for all angles of the triangle. 23, \18 B 20

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Q: Find the period. y = 5 csc(x) Craph Hhe functlon

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Q: 3. Find the length of the third side of triangle if its midline measures 45 cm?"

A: we know that Triangle mid theorem:the segment joints the mid points of two sides of triangle then th...

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A: We have to find sine function for given amplitude , time period and phase shift.

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Q: Find the slope of the line normal to the curve y = x³ - 2x +1 at x = 2 -

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Q: Simplify the trigonometric expression. 1 + sin(u) cos(u) cos(u) 1 + sin(u)

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Q: R is one of the acute angles of right triangle RST, where S is 90o. A. If Cos R = 9/15, the which o...

A: Given, R is one of the acute angles of right triangle RST, where ∠S=90° We have to solve for part A,...

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Q: Problem 9: By hand, graph the following over a two-period interval: y = c cot (2z –). No calculators...

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Q: 16

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A: To find out the expression for l. 

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A: topic - length of arc

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Q: Solving Trig Functions Solve each equation for 0<0 <2n.

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Q: 51. Write csc x in terms of cos x.

A: sin2x +cos2x =1 ⇒  sin(x )=±1-cos2(x). csc(x) =1sin(x)

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A: Here we have to find the missing side of the triangle. BC = 15 cm,  AC = x

Q: 9) Solve Systems of Equations using Matrices -2x - 4y = 6 2x + Зy Faml 1 det A -C %3D 1 A= %3D X A B...

A: Topic:- matrix algebra

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Q: Find the period and the amplitude. y = –cos (2x/5)    Step 1: Rewrite the trigonometric expression ...

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Q: 4. Find the exact value. Do not use a calculator. cos - +tan 3 3

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Q: 8. Solve for all sides of the triangle. 12 40° 95 b A

A: