18. In the right triangle below, find cos A. B 9 A 40 41 C 40/41 9/40 9/41 41/9 below find sin A.

Q: 4. Apply half-angle formula to find a. cos 15° b. sin 15° C. COS

A: Given: cos15∘, sin15∘, cos5π8 We know that cos2x=cos2x-sin2x…

Q: 1) If Cos A= 4/5 Then Find the value of Sin 2A O 24/25 O ((24)/25 7/25 O (-7)/25

A: In the question we have to find the value of sin2A.

Q: 9. Given sin 0 =, ? what is cos0? zV6 a. 7. 5V6 b. V6 2V7 с. 5V6 d. V12

A:

Q: h a Based on the figure given, which of the following is false? O a. sin(01) sec(02) = 1 b. cos(01)…

A:

Q: 4 and P(a) E QI Given: sin oa = 12 cos B = and P(B) e QII. 13 - Find exact value of sin(a + B). 33…

A: Here, sin α=45 and cos β=-1213 And, α is in the first quadrant. So, cosine is positive there: cos…

Q: 3/10 Given that cos(0) and 0 is in Quadrant 10 III, what is sin(20)?

A: cos(θ) = BaseHypotenuse,sin(θ) = PerpendicularHypotenuse ,Also by Pythagoras Theorem,(Hypotenuse)2 =…

Q: 7. cos A = ar and sin B = 5 with A and B in QI. 13

A:

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

A:

Q: 4. State the quadrant in which 0 lies. a) cos 0 > 0, tan 0 0

A: Introduction: All sin tan cos rule: All sin tan cos rule is all trigonometrical ratios in the first…

Q: 1. If sec A 5 and sin A 0. What is the value of cos ? 3/10 10 V10 10 O 3VTO 10 V10 10

A:

Q: Suppose cos ? =15/17 and ? lies in the 4th quadrant. Choose one of those ways to find sin ?.

A: Solution is in step 2

Q: 3 12 6. Gtven sina = -; and cosß = where n<a <: and <B< 2n. 5 13 Draw the triangles, length of the…

A:

Q: 2. (20 pts.) Let cos() =- and <B< Use one of the Half-Angle identities to find the exact value of…

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Q: 8. Given cos a = -3T<a<3, find the exa Value of: al sin b)cos

A:

Q: Evaluate the expression under the given conditions. 17 8. O in Quadrant I, cos o = - 2/5 sin(0 + ø);…

A:

Q: 10) Show numerically (to three decimals) that the formula cosine (a + b)=cos a cos b -sin a sin b is…

A: To prove that  cosine(a + b) = cos a. cosb - sina. sinb Given  a = 27° b = 41°

Q: 3. Find cos a if sin a

A: Given:sinx=910cosx=?Formula:cos2x=1-sin2x

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

A:

Q: find sin(a) given that cos(a) = 3/5 and sin(a)

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Q: 4. Report the numerical value of each trigonometric statement: a. sin(2 x 45°) b. sin(r/2 + Tt/2) c.…

A: Topic:- trigonometry

Q: 9 Given that cos 2A = - such that 25' 180° < 2A < 270°, without using a calculat find the values of…

A:

Q: If sin (A)= 12/13 with A in QII, find cos (A/2). cos (A/2)=________

A: In second quadrant cos is negative

Q: 31. Refer to Figure 24(B). Compute cos , sin y, cot v , and csc . 0.3 (A) (B) FIGURE 24

A:

Q: 3. Solve the following trigononetric equation for a. sin r = cos" r on [0, 27).

A: Given equation is: sin2x = cos2x                  on [0, 2π]

Q: 2. Given sin B = %3D in QII, find the exact value of the following: 13 1. sin(2B) b. cos (26) C. tan…

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Q: 1. Given: A = 38,6° and B=141,4° Calculate the value of: (e) *(c) sec A cos 2A-sin 2 tan? B (P)+ 2…

A:

Q: 1. Find cos(u – v) given the following information. 4 sin u = us 5' sin v =

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: If cos A= 21/3 and A is between 90° and 180°, find   sin A/2

A: Given : If cos A= 21/3 and A is between 90° and 180°,    Since, 90° &lt; A &lt; 180°…

Q: 4. Suppose that cos(A) = m , and A is in quadrant I. Then determine sin in terms of m. sin

A: Using half angle formula of trigonometry.

Q: (b) If cos (20) = 3/5 and 0 <0 ST/4, find the values of i. sin (20) %3D ii. cos (0) iii. sin (0)

A: If the angle belongs to  0≤θ≤π4, then 2θ belongs to0≤2θ≤π2          It means 2θ is in quadrant I…

Q: 3. Find the exact values of the following: 4л a. cos 3 11a b. cot

A: It is trigonometric ratio problem.

Q: 15 17 Vhat is the cos X of the triangle above? Vhat is the cos Y of the triangle above?

A: Since, we have been given a triangle such that XZ=15, XY=17 and YZOur Aim is to find :-(i) cos X of…

Q: 7. 4. and e is in IV quadrant. Cos e %3D Find the values of sin e and tan O

A: Given: cosθ=45, θ is in fourth quadrant We know that if cosθ=ab, θ is in fourth quadrant then sinθ…

Q: 15) In right ABYE, ZY is a right angle. Cos(B) is . What is sine of ZE?

A: Sin E=Opposite/hypotenuse  Cos B=Adjacent/hypotenuse

Q: 3TT 8 where Tt <A < 17 Given cos(A)= and 20 where 29 TT <B< TT, find exact values sin(B) = for…

A:

Q: 12 and sin 0>0, find cos 0. 35 3. Given tan O

A: given that tanθ=-1235 since sinθ&gt;0 therefore, θ lies in the first or second quadrant. But given…

Q: 11. Complete the sentence below. sin 20+ + cos 0 = %3D

A:

Q: If sin A = 65 with 180° < AS 270°, find cos 2A and cos 65 Cos 2A = COS 2

A: To find the value of the following,

Q: 1. Using the figure below, find sin(20) and cos(20). 3 8

A:

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: 45 [6] cos 2B and sin 2B given sec B & sin B> 0. In what quadrant does 2B terminate? %3D

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Q: Evaluate the given: So sin" () cosº () dz cos 10

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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: 5 - with A in the 13 Let sin A = third quadrant and cos B =- with B 2 in the second quadrant. Find…

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Q: 2 =, where 0 < A < , what is the value of cos 4? 2 18+6/5 6. 18+6/5 18–6/5 6. V18-6/5 6

A: Use,  Cos (A) = 2 cos^2(A/2) - 1

Q: 1. Given that sin(a) = with 0 < a < 5, give an exact answer for the following: a. sin() b. cos() %3D…

A:

Q: 1. Use the triangle to the right to find the following (as a fraction and decimalE a) sin ZP d) sin…

A: We have given a right angled triangle PRQ.  We have to find the following trigonometric ratios.

Q: 11 Tt Evaluate cos e if sin e = and e is in quadrant II. Select one: 1+2/6 • 2/6-1 6. • 1-2/6 • 2/6…

A: Firstly calculate the numerical value of the question and verify by options.

Q: Let sin A = 4/5 with A in QII and sin B = − 5/13 with B in QIII. Find sin(A + B), cos(A + B), and…

A: Given: sin A=45 and A lies in second quadrant. sin B=-513 and B lies in third quadrant.

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

A: topic - trigonometric ratios

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.