If sin ZC AB= and AC = 15, what is the value of cos ZC AB? %3D O 1

Q: If sin 0 =7 4 e in quadrant II, find the exact value of (а) cos @ (b) sin e+ (c) cos (d) tan 0+ 33

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Q: If sin (2x) = cos (x + 30), what is the value of x ? 20 O30 110 50

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Q: If cos a = 0.154 and sin B = 0.273 with both angles' terminal rays in Quadrant-I, find the values of…

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Q: If cos 0 2. and 0 is in Quadrant III, then sin 0 is equivalent to 4 (1) -7 (2) V7 (3) - 4 4 (4) 등 4

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Q: If A = 0J, then e = cos 01 + sin 0J = = cos sin 0500). - sin

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Q: find the exact value of cos (a+b), if a,b in Quadrant IV with sin a= -3/5 and cos b= 5/13

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Q: If sin A = −√65 /65 with 180 ≤ A ≤ 270, find cosA/2

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Q: What is the value of cot 0, if cos 0 =and csc 0 <0?

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Q: If sin A- where 5 <A<T, and cos B = where 13 B< 2n, find: 2 cos A b tan A cosec A d cot Be cos (A +…

A: We will find out the trigonometric ratios

Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

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Q: If sin e + cos e =p and sec e + cosec e = q, show that q (p? -1) - 2 p.

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Q: If 2 cos a+1=0 and sina <0, determine without the use of a calculator and with the aid of a diagram…

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Q: If tan A = 1 and A < 90°, then the value of sin A+cos A 2 sin A-2 cos A+8 cos A

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Q: Find the exact value of each of the following under the given conditions:

A: As value of cosθ and sinθ revolves around +1 to -1 , they take different values depending on the…

Q: Evaluate the expression under the given conditions.  tan(? + ?); cos(?) = − 1/3, ? in Quadrant III,…

A: This question is based on Inverse Trigonometry and Trignometric ratios.

Q: O E sinødø The is equal to cos+Ø tan3ø + C А. sec?Ø В. + C 3 sinØ С. +C 3 cos'Ø D. + C 3 E.None of…

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Q: In right triangle ABC, m/B t m/C Let sin B rand cos B = s C COS Which expression represents the…

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Q: What are the values of cos a and tan a, if a is the measure of an acute angle in a right triangle…

A: Given that α is acute angle, that means 0&lt;α&lt;π2.Hence, all the trigonometric ratios are…

Q: If AC = 3 and BC = 2, find the following quantities. (E sin A, cos A, tan A sin A = cos A =

A: It is given that, ∆ABC is a right triangle with ∠C=90° If AC=3 and BC=2

Q: If cos e = and tan e is negative, what is the value of csc 0? vz A. 2 c. - С. В. 2V3 D. V2 3.

A: topic - trigonometric ratios

Q: cot a, if sin a : and cos a < 0 V15 sec a, if cos a = 4 315

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Q: If sin a = 12, and cos a=, then tan a=D? %3D A. B. A 13 С. 12 D. 13 E. 60 Е. 13

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Q: if csc(e) = 15 and 0° < e< 90°, what is sin (0)? 17 14 15 14 15 17

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Q: Find sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(B). 4 7

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Q: If sin O > 0 and tan O < 0, what is the sign of the value of sec O?

A: To find the sign value of secθ Given sinθ&gt;0 and tanθ&lt;0 Given below is the quadrant system of…

Q: If sin (2a) cos (a +30), what is the value of a ? O20 O 20 O 30 О 50 O 110

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Q: r = sin 8 +2 cos?e

A: The given equation is r=sinθ+2cos2θ. Note that r=sinθ+2cos2θ is a polar curve.

Q: If sin 0 + cose =p and sec 0 + cosece = q,show that q (,? – 1) = 2p

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Q: If cos B=5, what is the exact value of sec B? A. 0.43 B. 0.50 с.0.71 D.1.4 О А О в о О с O D

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Q: E sin i sin 98 cos 50 de

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Q: If sin A -I and cos B =? where A and Bare in Quadrant IV, find cos(A+ B).

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Q: Answer the following completely. Given: tan α = = 2√6, cos ß = 1. csc a 3 I 5' αε[0,π] sin p < 0…

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Q: If sin A 315 3π 2 where π < A< then cos 2A =

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Q: If sin A < 0 and cos A < 0, in which quadrant does ZA terminate? O A. |II O B. IV O C. || O D. |

A: If sinA&lt;0 and cosA&lt;0 ,in which quardrant does ∠A terminate?

Q: If sin θ = 4/5 and θ lies in quadrant II, find the exact value of cos 2θ.

A: Given, sinθ=45 θ lies in quadrant II.

Q: () given that sin x .2, Eくxくπ Find cos and 13

A: Given: sinx=513  and   π2&lt;x&lt;πcosx2=?

Q: Evaluate the expression under the given conditions. cos(2?); sin(?) = − 7/25, ? in Quadrant III

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Q: In the diagram below, which of the following is true? 17 cm 12 cm 12 sin e = 17 A 17 sin e = 12 B 12…

A: GivenTo identify which of the following is trueFormula:cos θ=Adjacent sidehypotenuse

Q: Find the exact value of : a) cos 60° = b) tan c) sin 45° = 4 e) sec0° = d) cos T =

A: Lets find exact value of given trigonometric function.

Q: If sin A = 15/17, sin B = 5/13, cosA = 8/17, andcosB = 12/13, what is the exact value of sin(A – B)…

A: Here we find the value of Sin(A-B)

Q: 5 and cos a= 13 If sin a 12 , what is the value of sec a + )? 13 O 17/2 26 O 7/2 26 O 13/2 17 O 13…

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Q: The term cos(2a) can also be written as ... O 2 cos? a – 1 2 sin a – 1 O2 sin a cos a sin? a + cos?a

A: Let, cos2α=cosα+α Since, cosA+B=cosAcosB-sinAsinB

Q: If cos 0 = the value of O √3 and tan 0 H √3 . where 00 27, calculate

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Q: 27. sin? ax cos? ax dx

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Q: If Sin 0 = 3/5 , find without using tables the values of : i) Cos 0 i) tan 0 (ans: ) 45 ; ij 34)

A: Given: sin θ=35

Q: If A is obtuse, which is positive? a) sin A b) cos A c) tan A d) none a C

A: Here are the solutions:

Q: It is known that sin A =, where < A < n, and cos B = n< B < . Find the exact values of: where 13 3x…

A: Given that, sinA=35,π2&lt;A&lt;πcosA=-513,π&lt;B&lt;3π2

Q: If cos θ =(1/6) and θ is acute, find cot.

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Q: E 13 N 12 A

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.