Evaluate the ratio named by using the given ratio: a) tan 0, if cot 0 = b) sin a, if csc a = 1.25 V3 c) sec B, if cos B = d) csc y, if sin y = 1 2

Q: right

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Q: Is the following indentity true? (cot (0)+tan(0))² = sec² (0)+csc²(ø)

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Q: 2. What is the tangent ratio of angle B? A оо о с tane = A AC tane= tane tan0 = Ac BC ВС В

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Q: 20 cm 18 cm

A: This is right triangle so use the trigonometric ratio specially tangent.

Q: Use a ratio identity to find tan 0 given the following values. 6V 37 V37 sin 0 D and cos 0: %3D 37…

A: Given : sinθ=63737cosθ=3737

Q: 1 , sketch a right triangle with acute angle 0, and find the other five 4 If cot 0 = rigonometric…

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Q: 2. Use the special angle triangles and the Cartesian plane to determine the six trigonometric ratios…

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Q: What ratio is equivalent to sin∠Asin⁡∠A?

A: We have to find the ratio which is equivalent to sinA.

Q: Express trigonometric ratio of the following angle in exact form sin 120o

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Q: 1. What is -12π/5 rad in degree measure?  2. Evaluate: sec (1800°) 3. Evaluate: cot (3π)

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Q: Sketch a triangle that has acute angle ?. than find ratios of tan theta squareroot 15 sin theta =…

A: Solution :

Q: Use the trigonometric ratio sin A 0.38 to determine which angle of the triangle is ZA. (GSRT.7) 1.2…

A: The hypotenuse of the given right angled triangle is:  1.3

Q: Write the ratios for sin M, cos M, and tan M. 2. 3. 4. 25 M M. 7 K K 24 K M 2. 2.

A: Follow the steps.

Q: Evaluate the ratio named by using the given ratio: a) tan 0, if cot 0 2 3 b) sin a, if csc a = 1.25…

A: a) The relation between tan θ and cot θ is tan θ=1cot θ. To find the value of tan θ, substitute cot…

Q: Use a calculator to approximate the degree measure (to 1 decimal place) of the angle 0 subject to…

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Q: Explain why the values of the trigonometric ratios only depend on the angle αα and not on the…

A: Concept: The trigonometric ratios only depend on the angle and not on the particular length since…

Q: If the angle 0 is in standard position and P(x, y) is a point on the terminal side of 0, and r is…

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Q: sin 0; sec 0 = 3 and 0 E QIV %3D

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Q: Consider the length h of the perpendicular from point B to side b in the given triangle. Show that b…

A: From the given figure, let the perpendicular from point B meets the side AC at D.

Q: Use the definitions of the trigonometric ratios to find the value of sin30°sin⁡30°, cos30°cos⁡30°,…

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Q: What is the smallest positive degree angle measure equivalent to sin − 1 ⁡ ( 0.391 ) ?

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Q: Let a be angle such that cos a = -- and sin a > 0. What is the exact value of sin a?

A: Only 2nd quadrant is the only region where cosα is -ve and sinα is +ve

Q: Given that sin(0)>0 and tan(0)>0, in which quadrant does 0 lie?

A: We know that According to ASTC formulaIn I quadrant : All trignometric ratios are positive.In II…

Q: . Given AABC circumscribed by a circle, show that the b (Hint: Draw two diameter d of the circle is…

A: Law of sines: In triangle ABC, asinA=bsinB=csinC Central angle theorem: If a central angle and an…

Q: Use the given right triangle to find ratios, in reduced form, for sin A, cos A, and tan A. B 17 15

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Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. C 4 7 sin(0) =…

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Q: B

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Q: Given sin a = -, a is in QIIl and cos B = , Bis in QIV. Where is angle (a + B) located? O on the…

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Q: Write the ratios for sin M, cos M, and tan M. Give the exact value and a four-decimal approximation.…

A: Here, we need to find sin M, cos M, and tan M for the following figure. Here,            sin M =…

Q: Identify the ratios that correspond to the figure below, where TU = 30, UV = 16, and TV = 34. A sin…

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Q: Consider the angle 0 on a standard coordinate plane such that: cot(e) = 6; sec(e)<0, What is the…

A: Given, cotθ=6, secθ&lt;0tanθ=1cotθ=16

Q: Right triangle PQR is shown below with the dimensions given in units. 13 12 R Which ratio has a…

A: Consider the law of tangent is, sin∠R=PQPR=PQPR=1213

Q: Find the other five trigonometric ratios of 0. sin(0) = %3D tan(0) = csc(0) = %3D sec(@) = %3D…

A: given cosθ=45

Q: Determine the value of trigonometric ratios of special angles. 1. sin 30° = 2. tan 45 = %3D 3. csc…

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Q: Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation.

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Q: Write the ratios for sin M, cos M, and tan M. K 4/11 20 24 sin M=

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Q: In Exercises 11 to 14, use a calculator to find the indicated tangent ratio correct to four decimal…

A: Given: 11. tan15° 12. tan45°13. tan57°14. tan78°

Q: 3. Name a trigonometric ratio using sin that is equivalent to cos 30°.

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Q: Use a coterminal angle to find the exact value of the exgression. De nt sin 750° O 2 O 23 3. 1/2

A: Given:   sin(750°)writing 750°=2×360°+30° sin(750°)= sin(2×360°+30°)we know that 360°=2πThen…

Q: 1.The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A: diameter = 30mm , so radius = 15mm for find the value of \thetaθ . we use identity tan\thetaθ = P/B…

Q: Find the remaining trigonometric ratios of e based on the given information. V3 and e is not in QIII…

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Q: 5) What is the measure of arc QR in degrees?

A: Here is the solution

Q: Given that sin(θ)>0 and cot(θ)>0, in which quadrant does θ lie

A: Using trigonometric ratios quadrants

Q: What are the other five trigonometric ratios of 0 in a right triangle with cot 0 = 2? %3D 16

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Q: What is the Length of the arc of the circle r = sin θ that remains outside of the cardioid r = 1 —…

A: According to question given thatr=sinθr=1-sinθ

Q: 2. Write all the other trigonometric ratios of ZA in terms of sec A.

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Q: In AGHI, the measure of ZI=90°, GI = 5, IH = 12, and HG = 13. What ratio represents the tangent of…

A: Given in △GHI, the measure of ∠I=90°, GI=5, IH=12, and HG=13.

Q: (a) In a circle of radius r, what is the length s of an arc thatsubtends a central angle of u…

A: Given  radius of circle is r central angle = u radians

Q: Express the length x in terms of the trigonometric ratios of 0. X = 20

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