In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such that AC BC. If mBC = 152°, determine and state mZD. %3D A °C

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

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: hay In ANOP, the measure of ZP=90°, NP = 35, ON = 37, and PO = 12. What ratio %3D %3D %3D represents…

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Q: If cos t and t is in the 3d quadrant, then sint

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Q: Find the equation of the sine graph given below. JG- -TT 2 1 0 10 TT 211 3m 15 411 5m

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Q: ngles A and B are located in the first quadrant. If sin A = lue of cos(A + B). 5 and cos B = 13 3…

A: Given query is to find the value fo indicated angle.

Q: Verify the given equation: sin z (1+ cot? z) = csc z

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Q: Given cos 0 = , find the value of sec 0 12

A: cosθ=-712

Q: In triangle PQR right angled at Q PR+QR = 25cm and PQ = 5 cm . Determine the values of sinP , cos P…

A: Given information: In triangle PQR right angled at Q, PR + QR = 25, PQ = 5 Concept used: Pythagoras…

Q: In right triangle ABC, m/C =90°, and sin A What is the value of cos B? 35 3534464 O O O

A: The value of SinA=35 The objective is to find the value of CosB

Q: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1'.

A: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1 Given, cosθ=0.8

Q: John wants to measure the heigh exactly 100 feet away from the b looks to the top of the tree. The…

A: For this problem we can easily find height of tree by using trigonometric formulas.

Q: Let 0 be an angle in standard position. In which quadrant or quadrants can be located if it meets…

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Q: 2r What is the value of cos (0) m the right triangle above?

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Q: Use the information given below to find sin (a -B). 3 with a in quadrant II 5' sina= 3 tan B= with B…

A: Given,        sinα=35, with α in quadrant II        tanβ=34, with β in quadrant III

Q: Find sin(a + B) given that cos(a) = for a in quadrant IV and tan(8) = with 3 in quadrant I. %3D

A: Given - cos(α)=817  , tan(β)=512α lies in IV quadrant. , β lies in I quadrant. To find sin(α+β).…

Q: In terms of A, B, C, and D, write a formula for each of the following characteristics given y = Asin…

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Q: The area of one lobe of r = 3 sin(40) is

A: Given: The equation of one lobe is, r2=3sin4θ

Q: In AVWX, the measure of X=90°, XW = 48, WV = 73, and VX = 55. What is the value of the sine of ZW to…

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Q: Find the area of the part of the circle r = 9 sin 0 + cos 0 in the fourth quadrant .

A: Area = 12∫abr2dθ In the fourth quadrant, θ is varying from 3π2 to 2π Hence, a=3π2 and b=2π

Q: Determine the measure of obtuse <D for each ratio. a) sin D = 0.45 b) cos D = - 0.21

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Q: The position of a particle moving along a coordinate line is given by: s(t) = 10 cos %3D

A: We have to find

Q: Use the given information to find the exact value of : a. sin 2θ   b. cos 2θ   c. tan 2θ.

A: given: sinθ=-941, θ lies in  quadrant III we have to find the exact values of: (a) sin2θ…

Q: Give the amplitude or period as requested. Amplitude of y = -5 cos A 8Tt В D) 5

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Q: approximate to the nearest 0.1degree, all angles theta in the interval [0degrees, 360degrees) that…

A: According to the question, we have to solve the trigonometric expressions e)    sec θ=-1.116f) cosec…

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

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Q: Prove the Law of Cosines, c² = a² + b² – 2ab cos 0, by referring to Figure 23. Hint: Consider the…

A: To prove :                   The Law of Cosines. From the given figure, it is observed that x = a…

Q: Find the quadrant in which 0 lies: (a) csc0 0 (b) sec 0 > 0 and sin 0 <0

A: we have to find the quadrant

Q: Use the half-angle formula to find the exact value. cos 22.5° = ロ石 号 %3D

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Q: Determine the value of tan 0 given that the terminal side of angle 0 intersects the unit circle in…

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Q: Find sin0, where 0 is the angle shown. Give an exact value, not a decimal approximation.

A: The given diagram is

Q: Given that cos(0): V17 and 0 is in Quadrant III, what is sin(0)? %3D 17

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Q: Use the triangle in the illustration for the exercise. 74.0 m 37.0 m 64.1 m CO Find sin(A). (Round…

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Q: In APQR, the measure of ZR=90°, QP = 73, RQ = 55, and PR = 48. What is the value of the sine of ZP…

A: Given angle R=90° QP=73 RQ=55 And PR=48

Q: Find the area of the part of the circle r = 2 sin 0 + cos 0 in the fourth quadrant. Answer :

A: Given circle  r=2sinθ+cosθ

Q: 3. In the diagram below, tangent DA and secant DBC are drawn to circle O from external point D, such…

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Q: In AABC, mLB = 90° and tan(A)3D What is cos(C)? O A О в 45 35 53

A: Given that,              In a ∆ABC,⇒                m∠B=90°⇒               tanA =34            find…

Q: O is an angle in standard position whose terminal arm is in quadrant III and Sin 0 3 Find COs O V13

A: Solve the above problem.

Q: the value of (yn)o If y= Sin (msin , find

A: Given that We need to find the value of

Q: Find the cosine of ZI. H. 45 J 53 Write your answer as an integer or as a decimal rounded to the…

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

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

A: topic - trigonometric ratios sec θ=1cos θ=hypotenuse basecos θ =base hypotenusecot θ=cos θsin…

Q: Cannot solve

A: Given that

Q: Find the quadrant in which 0 lies: (a) sin 0 0 (b) cos 0>0 and csc 0 >> 0

A: To find the quadrant in which θ lies a sinθ&lt;0 and tanθ&gt;0b cosθ&gt;0 and cscθ&gt;0

Q: Approximate the acute angle u to the nearest (a) 0.01 and (b) 1'.

A: Given:                sinθ=0.6612

Q: 5. Identify the quadrant in which the angle e lies. sin 0 < 0, tan 0 < 0 Quadrant I B Quadrant II…

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Q: The terminal side of angle θ intersects the unit circle in the first quadrant at (16/19,y). What are…

A: Since, it is a unit circle, the radius is 1. We will determine y in the first quadrant and then find…

Q: Find the area of the part of the circle r = 9 sin 0 + cos 0 in the fourth quadrant . Answer :

A: Find the area

Q: In AJKL, the measure of ZL-90°, JL = 24, LK =7, and KJ = 25. What is the value of %3D %3D the sine…

A: Given information: In right triangle JKL in the diagram below, KL = 7, JK = 25, JL = 24, and ∠L =…

Q: Use the given information to find the exact value of : a. sin 2θ   b. cos 2θ   c. tan 2θ.

A: Given, sinθ=1213θ lies in second quadrant . in second quadrant sine is positive and cosine is…

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.