1. If a, B are acute angles such 4 that cos a = 8 and tan B=, find 15 a. cos (a- B) b. sin 2

Q: If a, B, y, ð are the smallest positive angles in ascending order of magnitude which have their…

A:

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = –; -and 13 %3D angle B is in…

A: Since, the student has mentioned to solve part (d) and part (e), so we are solving accordingly part…

Q: .If Sin 0 = 3/ 5 , find without using tables the values of : i) Cos 0 i) tan 0 (ans: ) 4/5; ij 34)…

A:

Q: 2.If a = 9, b = 12, and c= 15, what are sin A, cos A, and tan A?

A: Given triangle isa=9 , b=12, c=15

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:

Q: 5. If a,ß are acute angles such that 4 cos a 8 and tan ß =, find cos(a-ß) 15 () and sin

A: The detailed solution is given below Thank you

Q: If  sin(?) =  9 41  and  tan(?) = −  9 40 ,  find  sec(?).

A:

Q: 2. Which set of primary trigonometric ratios is correct for the angle 225°? a. sin 225° = 1 cos 225°…

A:

Q: If sin 0 = and cos 0= 12 9. %3D 15 15 what is the tan 0? tan 0 Report your answer in simplest form.…

A:

Q: If sin e= and 0<es, find the exact value of tan 20. %3D 4 24 24 4

A: Given,        sinθ=35 and 0≤θ≤π2

Q: 8. and If sin a =- 17 cos ß = for a second-quadrant angle a and a third-quadrant angle ß, find the…

A: solution is given below..

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: cos(?/2−?)=10/11, find tan⁡(?)

A:

Q: If w=f(a,b,c)=cos(ab)sin(b)+c, what is at ( -,6

A: Given function and point is  w=f(a,b,c)=cos(ab)sin(b)+c and 12,π3,6

Q: 2 then which of the 5 An angle e drawn in standard position terminates in the fourth quadrant. If…

A:

Q: Given that sin e = 3/5 and tan 0 < 0. Find sin 20.

A: Consider: sin θ=35 and tan θ&lt;0. Find sin 2θ. Since sin θ=35&gt;0 and tan θ&lt;0 implies θ lies in…

Q: If sin θ = 4 / 5 and θ is in quadrant II, then cos θ =

A: We know that in the second quadrant, sine is positive and cosine is negative. Also, sin2x+cos2x=1.

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: 19 21 Choose the function that could be used to find the measure of the angle with the "?". sin COS…

A: Given: A right-angled triangle with hypotenuse 21 units, and a side as 19 units. From the unknown…

Q: Show that if tan0 = c and 0 &lt; 0 &lt; π/2, then cos0 = 1/ 1 + c2.Hint: Draw a right triangle whose…

A: tan θ=cTo find: Value of cosθ, where 0≤θ≤π2

Q: If tan 0 = and cot ß = - for 0 in Quadrant Il and B in Quadrant II, find cos(0 – B). %3D 24 4

A: Given that

Q: For a given angle a in 5,), we have sin a = . Determine cos x and tan oc exactly.

A: trigonometric ratio problem.

Q: If the cos 0 = and tan 0 = , 5 13 what is sin 0? 12 %3D 5 sin 0 = %3D Enter

A: Proceed as shown below

Q: Given that A is obtuse and B is reflex angles and sin A=12/13 and cosB=3/5 without using…

A: Trigonometry

Q: If α and β are second-quadrant angles such that sin α = 3 5 and cos β = − 8 17 , find tan(α + β)

A: ANSWER:

Q: If  sin(?) = 3/5 and  tan(?) = − 3/4 find  sec(?).

A:

Q: 6. If sin 0 and <e<n, find the following. %3D a. sin e b. cos C. tan 612

A: We need to find trigonometric angles.

Q: If the terminal side of B contains the point (6, 8), what is the exact value of sin (8 7/2 10 V2 10…

A:

Q: In right triangle JKL, Which of the following 24 a. tan L = 24 b. cos L = 25 %3D C. tan] %3D 24 7 d.…

A:

Q: B. If sin e=% , find 1. Sin 20 2 Cos 20 3. Tan 20

A: Given: sin θ=34......(1) The expression for the sine trigonometric ratio is given as sin…

Q: If a,ß are acute angles such 8 4 and tan ß =, find 5 that cos a = a. cos(a-ß) a b. sin 2

A:

Q: Given that sin u = 1 /3 and cos v = −3/5 and that u and v are both  in the second quadrant.  Find…

A:

Q: Suppose 0 is an angle such that cos(0) If 0 < 0 < T, then cos 5 2 and sin ) If п <0 < 2т, then cos 2…

A:

Q: Given that cos θ = − 3/5 and that θ is in QIII, find the exact values of sin θ, tan θ, csc θ, sec θ,…

A: As cos θ = (Base) / (Hypotenuse) = -3 /5. Cos θ is negative in quadrant III. Find the perpendicular…

Q: Question in image.

A: We have to find the value of cos(α + β) when sinα and tanβ are known.

Q: For positive acute angles A and B, it is known that sin A = 1 and 15 17 cos B Find the value of…

A:

Q: If cos (0) = - and sin (8) = -, where <0 <r and <B< 27, find cos (0 + B). 5 %3D %3D 13

A: Given,            cosθ=-35 and sinβ=-513 , where π2≤θ≤π and 3π2≤β≤2π

Q: 3. Suppose ABC is a triangle in which <C is 90 degrees. If BC/AB = ½ what is the exact value of…

A:

Q: 17. Show that if tan e = c and 0 < e <7/2, then cos e = 1//1+c2. Hint: Draw a right triangle whose…

A:

Q: For what angles 0 between 0° and 360° is cos 0 = sin 0 true?

A:

Q: 12 If tan(@) 0Sos, then %3D sin(0) equals cos(0) equals sec(A) eguals

A:

Q: In right ∆QRS, Angles Q and R are the acute angles. If tan Q = √51/7, determine cos R.

A: We have used the Pythagoras Theorem in this question.

Q: If sin a = 17 and cos B =- for a second-quadrant angle a and a third-quadrant angle B, find the 13…

A: Given :  sinα=817 cosβ=-513 We have to find out the value of sinα+β.  We know that…

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: Answer the Following: 1. If sin θ = 5/3 and θ is in QIII, cos θ is equal to? 2. According to the…

A: Topic:- Trigonometry

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: 4. If tan 0 =E, x<0<, find the exact value of each of the following. 2' (a) sin (20) (b) cos (20)…

A: As we know that sin2A=2tanA1+tan2Acos2A=1-tan2A1+tan2A

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

A:

Q: Suppose that θ is an angle in a right triangle, and sin(θ)=4/5. Sketch a possible right triangle…

A: see below the answer