1. Suppose that a is an angle in standard position and that the terminal side of a is im the first quadrant. Further, suppose that sin(a) Determine the exact value of each of the following expressions. 3 (a) cos(a)

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A: First of all use the trigonometric identity that is cosα=1-2sin2α2 and now substitute -35 in place…

Q: 3 If tan 0 2' T < 0 < find the exact value of each of the following. 2 (c) sin 2

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Q: 7. If 0° < 0 < 90° and sin 0 =, find cos 20.

A: To find: The value of cos2θ. Given: The value is sin θ=35 and 0°≤θ≤90°. Formula used: Trigonometric…

Q: 13. Suppose sin n° = 15: Find cos nº and tan n° without using a table or calculator. 13

A: Given: sin n°=513. To find: cos n° and tan n°. Solution: We have given sin n°=513. We know that,…

Q: 3 with A e QIII , find sin2A 8 7. If cos A =--

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

Q: If 0°<θ<90° and sin⁡θ=12/13, find cos⁡θ using trigonometric identities. 12/13 5/13 12/5 5/12

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Q: 4 Suppose that sina and 90° < a < 180°. 5 a Find the exact values of sin and tan 2 गंत 2

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Q: Enter the EXACT value for each of the following. (a) cos( 0°) = and sin( 0°) = (b) cos( 45°) = and…

A: Answer is mentioned below

Q: 10. If csc0 : and 0 is in the third quadrant, find cos 0, sin 0, and tan 0. 4 --

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Q: . Find, without using tables, the values of Cos x and Sin x, when Cos 2x is : 1/8

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Q: 11. If 0° <0<90° and sin 6 = , find cos 0 using trigonometric identities. %3D 13

A: Explanation: Given that,  sinθ=1213 ;   0°&lt;θ&lt;90° We know that,  In trigonometric ratio:…

Q: Suppose that cos 8 = 0.68. What is the value of sin(a)?

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Q: Suppose 0 is in the interval (180°, 270°). Find the sign of the following. sin 2 If e is in the…

A: Given, sin(theta/2) Given interval, (180°,270°)

Q: If sin A lind cos 2A

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Q: Find sin(2x), cos(2x), and tan(2x) from the given inform 12 tan(x) = x in Quadrant II 5

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Q: 13 Suppose that sec and 270° <0 < 360°. 0 Ө Find the exact values of sin and tan 2 2 गंत

A: Solution of given question is written in below steps.

Q: 2. Find the exact value of the following expressions: а) sec-- cos + sin b) sin 12 4 6

A: topic - trigonometric ratios

Q: 5. If sin e and 360 < e< 450°, find cos %3D

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Q: 5. When sin A = -– and A lies in Quadrant III and cos B = - Quadrant II, what is tan(A+ B)? - and B…

A: First find out the values of tanA and tanB than use the trigonometric formula of sum of angles and…

Q: 5. 3 If tan B = - with * <B < 2n , find cos (2ß). %3D

A: It is known that in the first quadrant all trigonometric ratios are positive, in the second quadrant…

Q: If sin a and cos a3D 13 12 what is the value of sec. 13 %3D O 13/2 O 13/2 17 O 17/2 26 O 7/2 26

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Q: 5 and 12 If tan e = < e < 2n, compute cos e and csc e. Do not use a calculator.

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Q: 5 2. In right triangle ABC, mzB = 90°. If tan C = 12 find sin A

A: Trigonometry Right angled triangle problem

Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: 6 If csc B =6, e in Q2, find Sin(20) with

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Q: if sin A=3/5  A in QII find cos A/2

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Q: 37 Determine cos(2.4) given that tan A =-, where A<A<- 2. 1/3

A: Given: tan A=13 to find cos2A where π≤A≤3π2 The formula for cos2A=2cos2A-1 or cos2A=1-2sin2A or…

Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find sin 2x, cos 2x, and tan 2x if tanx= and x terminates in quadrant II. 12

A: In second quadrant sin is positive and cos is negative

Q: 1 tan z = 3'

A: The value of tanz =13  is given where, π≤z≤3π2 Solution: (a) Now  we have ,tanz =13, So -tanz will…

Q: Suppose cos(α)=−3/4 and sin(α) is negative. If the point (−3,y) is on the terminal side of the…

A: Use trigonometric ratio  &amp; its identity

Q: (금) 7 Suppose that is an angle in quadrant 3 and that cos y = Compute the exact value of sin 25 sin…

A: Given, cosγ = -725  γ2 is an angle in quadrant 3  We have to find the exact value of sinγ2.

Q: if cos A=1/2 with A in QIV find sec A/2

A: Given  We know that

Q: 2. If sin A = -35 with A in QIII and cos B = 5 13 with B in QIV, find the following. a. sin (A + B)…

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Q: 8. 15 Use the figure above to find the exact value of sin 20, cos 20, tan 20. sin 20= cos 20= tan…

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Q: 2. If cos 4A = 23/49, find tan A %3D

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Q: what is the exact value of the following  y= sin^-1(theta3/2) and y= accros (-theta2/2)

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Q: Find sin 2x, cos 2x, and tan 2x if tanx and x terminates in quadrant III. 1/2

A: NOTE: Refresh your page if you can't see any equations. . and the angle is in the third quadrant…

Q: 4. If cos 0 = and tan 0 >0, then sin 0 = 13 O A 12 13 о в 5 12 С. 12 13 O D. 5 12

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Q: If cos (2x - 1)° = sin(3x + 6)°, then the value of x is

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Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

Q: 12 If cos(a) = with T<a<- compute the exact value of the following: 2 cos(2a)=| sin tan)- 2

A: cos(α)=-22 with π&lt;α&lt;3π2

Q: If sin B = − 1 5 with B in QIII, find the following. cos  B 2

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Q: 2. If 90° < 0< 180° and cos e = - 5, find sin 20. 37 420 1369 840 1369 840 1369 420 1369

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Q: 29. If sin (a) 3 5 -34 and cos<0, then tan = = 3 (b) (c) (d) 4 3 六

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Q: Suppose that sin a = and t <a < 13 Find the exact values of sin and tan 2. 2.

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Q: Suppose s is a real number such that sin s = - and cos s > 0. Find cos s

A: Given                     sin(s)=-35  and cos(s)&gt;0…

Q: 7) Given that tan(a) = with a in QIII and cot(B) = --with B in QIV, find sin(a +B) and cos(2a). %3D…

A: Given : tan(α)=23 with α in QIII and cot(β)=-14 with β in QIV. The objective is to find the value of…

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.