10) Find the exact value of: tan +tan B tan (A+B)= -tan A tan B tan + tan 1-tan tan 5T TC 4 12 5TT TC 12

Q: 1 2. If tan(A+B) =, and tan B 3 what is tan A? 2'

A:

Q: Find the exact value of tan (a + B) under the given conditions. 24 cos B = tan a== 21 25 2 B<T

A:

Q: Given that V2 - /2 – V2 sin 22.5° find an exact expression for tan 22.5°.

A: Given: sin22.5°=2-22

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: 7. Find the maximum and minimum values of the expression 2 cos 0-4sin 0. Hence, determine the angles…

A: Given: The expression is: 2 cos θ-4 sin θ Find the maximum and minimum values of the given…

Q: 1. Given that sin a =- and sin B -find tan (a + B) if both a and B are in QIV.

A: As per guidelines, I can only solve first question remaining can be reposted.

Q: 7. Given that tan (A) = - and angle A is in 3rd quadrant and cos(B) = - and 13 angle B is in 2th…

A:

Q: 7. Let tan u = and sin v = , with n <u < and < v<T. Find the exact value of sin(u – v). 13

A:

Q: 5. What is the exact value of tan 195°? O 2 - V3 2 –

A: Using advanced trigonometric identities we can solve for tan 195o

Q: (2) = , Which of these is a valid solution to the equation tan ( x 4 3 O 7T

A: We can find the answer as below.

Q: 12. Find tane, given that sin 0 =,and 0 is in QII. b.-3 a.- d.3 3

A: Given that sinθ = 1/2, and θ is in quadrant II. we know that sin(180-θ)=sinθ if θ is in II quadrant.…

Q: Find the exact value of cos(2 tan−¹(-5₂2)). 12

A: Given cos2tan-1512

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: Considering only the values of a and Bf sec asec Bcos (a + B) is defined, sec asec Bcos (a + B)…

A: Given that trigonometric equation simplifying below;

Q: 10. If cose = /3 sin 0 then the exact value of tan 20 is: A. -V3 В. 23 1 С. D. 3

A:

Q: A Show that : tan" [ ica-a)' (2ta)) -i 2

A: Let ax=eiθ. So: tan-1ix-ax+a=tan-1i1-ax1+ax                         =tan-1i1-eiθ1+eiθ…

Q: 7. Find tan B and csc B if secß and tan B < 0. 3/2

A: Since there are multiple questions posted, we will answer the first question posted (7). If you want…

Q: 1. What is the value of Sin 3? 4 TT 2. What is the value of Tan 3

A:

Q: Which is the value of sec? 80° – tan? 80°? O undefined 0 1 O-1

A: We know :  sec2θ-tan2θ=1.

Q: if sin(A)=3/5 A is in QII and tan(B)=7/24 B is in Q3 then determine tan(A+B) and cot(A+B)

A:

Q: 9. Evaluate. Give the exact answer, not a rounded off decimal. a. tan−1 (√3) b. sec (sin−1 ( 5 13))

A:

Q: 6. Find the exact value of cos 5 Tt 12. 7. Find the value of: (tan 10°) (tan 15°) (tan 20°) ... (tan…

A: 6- Given- cos5π12 To find- The exact value of the above expression. Explanation- Rewrite the given…

Q: 3b) Compute tan 6. An exact answer is required.

A:

Q: Find the following. V5 tan given tan B = 2' with 90° < B < 180° 2 tan %3D -

A: We will use formula for Tan(A+B)

Q: Given cos(0) = choose all possible values of tan(4) from the given values. %3D 25 O tan(8) = -4 %3D…

A:

Q: 3. Suppose that 0 is an angle in standard position whose terminal side intersects the unit circle at…

A:

Q: Find the exact value of cos a/2 given that tan a = 15/8 ,a lies in Quad III.

A: Given: tan a=158 a is lies in Quadrant III. We have to find the exact value of cosa2 Use the…

Q: 10. Use a half angle formula to determine the exact value of tan 12

A:

Q: 2.12. Find the exact values of sin 2u, cos 2u, and tan 2u using the double-angle formulas given that…

A:

Q: Plz answer with step

A:

Q: Find all the exact solutions of the equation sin 2a = - 3 cos a. 2 tan 0 cos 20 = cos? O – sin?0 = 2…

A:

Q: Find tan A if tan B = 1/8 and tan(A + B) = 5

A: Given,         tanB=18  and  tanA+B=5

Q: 17 and 180° <0 <270°. 8. Suppose that sec 0 = Find the exact values of sin and tan 2

A:

Q: Find tan 20, given the expression below. 1 and sec 0 > 0, 3 tan 0

A: To find: The value of tan 2θ. Given: The value is tan θ=-13. Formula used: Trigonometry formula: tan…

Q: Given cos(@)=-choose all possible values of tan(@) from the given values. %3D tan(0) =-4 tan(6) = 4…

A:

Q: 1. Find the exact value of the expression. cos(255°) Lan(㈜)+tan(㈜). tan) a. b. 1-tan(

A: Use formula COS(A+B)  and Tan(A+B)

Q: If 0 be a positive acute angle satisfying cos? 0 + cos* 0 = 1 then the value of tan² 0 + tan“ 0 is

A: Given:       To determine:

Q: Find the exact value of sin 75°. 4 4 4 12 2

A:

Q: and 0 s es find the exact value of tan 20. 2 If sin e= 7. 24 24 45 314 41on

A: Given that, sin theta = 4/5 where 0 &lt;= theta &lt;= pi/2 So theta lies in the first quadrant.

Q: Given that tan A= and sin(A B) = 2 cos(A– B), the exact values of %3D sin 2A = and tan B = %3D

A: To find Sin2A and tanB Given that tana=1/3 Sin(A+B)=2cos(A-B)

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

A:

Q: Find the exact values of sin(θ/2), cos(θ/2), and tan(θ/2) for the given conditions. sec θ = 5/4 ;…

A:

Q: 11. What is the exact value of tan (–105°)? O -2 + v3 O 2 - V3 )-2- V3 O 2+ V3

A: Given:        tan-105° Use the property:        tan-x=-tanx     Then,           tan-105°=-tan105°…

Q: a 48° A b cos(42)=b/c cos(48)=b/c sin(42)=b/c sin(48)=b/c tan(42)=b/a tan(48)=a/b

A: Sin θ = PerpendicularHypotenuseCos θ = BaseHypotenusetan θ = PerpendicularBase

Q: 1 Find sec(t) if tan(t) = = and t is in the first quadrant. 26 ii) /26 iii) O i

A:

Q: 7- The value of (tan³8 + tan³0) e-ten³0 de is. b) 5/2 c) 1/4 0 a) 1/2 d. 5/4

A: The objective is to find the value of ∫0π2(tan3θ+tan5θ)e-tan2θdθ.

Q: . Determine the exact value of sin β where tan β < 0 is an acute angle, and cos β = 8/17

A: to find value of sinβ

Q: What is the value of sin A if the value of tan A is 4/3? O 213 O 2/15 O 4/5 O 3/5

A: Given: tanA=43 Concept: Here we shall use the concept of forming a triangle by given values. We…

Q: Find the value of tan 0 in AABC. 10 tan e Enter vour next st

A: Find the value of tanθ

Q: If tanx - tany = 6 and cotx - coty = 4, what is the value of tan(x+y)?

A: There is some typing error in the question. I have solved according to both.