a) y = 2 cos TX A = P = b) y = cot (x -) A = P c) y = 3 csc +) A = P =

Q: Which of the following is not equivalent to sin 0? sin 0(1 + cot? 0) cos 0 tan 0 Option 1 Option 2…

A: Use trigonometry expression.

Q: tan (x) = 7.1. If x and y are complementary, what is cot (y)? %3!

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Q: Find the exact value ofcos(α+β)under the given conditions.   sinα=15/17, 0<α<π/2​;…

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Q: In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D. such…

A: If a tangent and a secant are drawn to a circle from an exterior point to the circle, then the angle…

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A: ∫1+cotθsin2θ4-cot2θdθLet u=cotθ.=∫…

Q: If y = cos*[sec2 (30)], and (6 y will be equal to? 9.

A:

Q: 3. Light of wavelength 575 nm falls on a double-slit and the third order bright fringe is seen at an…

A: Please see the attachment According to the guidelines we are supposed to do one problem

Q: A beam whose centre of gravity divides it into two portions, a and b. is placed inside a smooth…

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Q: In right triangle ABC, mZA = 30° and mZB = 90°. Which of the following are true? 1. sin(A) = sin(C)…

A: topic- trigonometric identities

Q: 2. Which set of primary trigonometric ratios is correct for the angle 225°? a. sin 225° = 1 cos 225°…

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Q: A beam whose centre of gravity divides it into two portions, a and b. is placed inside a smooth…

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Q: tan (x) = -8.6. If x and y are complementary, what is cot (y)? %3D Submit

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Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: If a e" sec 0, y = e' tan 0, show that Hr,e) (r,0) 1 (1,y) E E E

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Q: Look at triangle MNQ. 71 15 58° What is the value of x, to the neares tenth? 9. Triangle AZT is an…

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Q: 4 (cot? 0 + csc² 0 sin 20) de 2

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Q: Which of the following is equivalent to cos 0? cos 0(1+ tan? 0) sin 0 + tan 0 1+ sec 0 O Option 1 O…

A: Checking all options by simplifying.

Q: Consider the quarter-circle of radius 1 and right triangles ABE and ACD given in the accompanying…

A: From the given fig. Using standard area formulas, We need to show that…

Q: Now, by definition, cot(0) sec(0) : sec (0) and csc(0) : %3D tan(0)'

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Q: As long as it is defined, the expression cot 0 sec 0 sin 0 is equal to (tan 0)2 (csc 0)? O 1 (cos…

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Q: The area of an isosceles triangle with equal sides of length x is 1/2 x2 sinθ sinθ, where θ is the…

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Q: . A beam whose centre of gravity divides it into two portions, a and b. is placed inside a smooth…

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Q: If tan(0) Hint = sin(0) = cos(0) = sec (0) = 15 - 8 ) 0 ≤0 ≤ 90°, then the exact value of

A: Here we have to find the other trignometric function.

Q: 25. Find the angle 0 that maximizes the area of the isosceles triangle whose legs have length e…

A: Given area from question:

Q: What is / 4 sec 0 tan 0 dO? O 4 sec 0 tan 0 d0 = 4 sec 0 + C o | 4 sec 0 tan 0 d0 = –4 sec 0 + C o […

A: We will find the solution in the following step.

Q: 3. Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle at…

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Q: Select the expressions that are equivalent to cot 0 ( tan²0 + 1). O cot 0 (sec?0 + 1) O cot 0 sec20…

A: To determine: The equivalent expression to the given expression,

Q: The magnitude of A = p cos 0 a, + pz2 sin Ø a, at point (3, -4, 0) is: %3D

A: To find magnitude of A⇀=ρcosθaρ⇀+ρz2sinφaz⇀   at point (3,-4,0)

Q: 19. An equivalent expression for sin 0 cot 0 is sec 0 tan 0 O cos 0 O sin e

A: Here we have to find the equivalent expression for the given expression sinθcotθ

Q: f cos 0 and tan 0 <0, then 8 sin(8) tan(0) cot(0) %3D sec(e)

A: if cosθ=-28 and tanθ&lt;0 we have to find ,  sinθ=tanθ=cotθ=secθ=cscθ=

Q: of triangle ABC is Show that the given by area (1/2)ab sin C = (1/2)bc sin A = (1/2)ca sin B. a B

A: Consider a triangle ABC having side lengths AB=c, BC=a and CA=b respectively.

Q: Find the exact values of the ren cos 0 = tan 0 < 0 sin 0 = tan 0 = csc 0 = sec 0 = cot 0 =

A: Definition used-                           sinθ =1-cos2θtanθ =sinθcosθcscθ =1sinθsecθ =1cosθcotθ…

Q: What is sec x equal to if sin x = m, and 0<x<pi/2 ?

A: sinx=m, 0&lt;x&lt;π2 By using the identity sin2x+cos2x=1, we get ⇒m2+cos2x=1⇒cos2x=1-m2⇒cosx=±1-m2…

Q: If e be a positive acute angle satisfying cos 0+ cos 0= 1 then the value of tan? e+ tan e is 3 2 OA.…

A: As per company's guidelines, we are supposed to solve the first question for you, kindly re-post the…

Q: 5 Find the general solution: cos 20-cos 0+1 0 where 0 is an angle measured in degrees? %3D

A: The general solution includes all possible solutions typically including arbitrary constants. A…

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A: We have to find trigonometric ratios.

Q: 15 cos( Arcsin 17 (뉴) + Arccot 40 is equal to... -435/308 O -528/697 O 528/697 435/308

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Q: Suppose 0 is an angle such that cos(0) If 0 < 0 < T, then cos 5 2 and sin ) If п <0 < 2т, then cos 2…

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Q: What is the exact value of cos(85°) cos(65°)– sin(85°)sin(65°) ,

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Q: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth…

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Q: A circle is specified in paràmetric form by x = 2+6 cos 0 %3D y = -8+6 sin 0. What are the…

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Q: Find the smallest possible solution to the equation 7 tan(4a + 199°) = 8 sin(4a + 199°), where a >…

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Q: 5. Find the length of one arch of the cycloid x = sin and y = 1- cos 0

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Q: A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth…

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Q: 12 If tan(@) 0Sos, then %3D sin(0) equals cos(0) equals sec(A) eguals

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Q: tan What is the exact value of sc wdw ialuulexalu fXis thrali

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Q: By comparing e3i0 = cos 30 + i sin 30 with ( ei8)3 = ( cos 0 + i sin 0)3, find the "triple angle"…

A: Euler's rule: ei3θ = cos3θ + i sin3θ   -------------------Eqn (1) Also, (eiθ)3 = (cosθ + i sinθ)3

Q: Suppose, for some angle 0 drawn in standard position, tan(e) = -24/7 and sin(0) < 0. Find the exact…

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.