.If 0° < a < 90° and 90° < B < 180°, then < B - a <

Q: If tan A =n tan B and sin A =m sin B, prove that cos A = m²-1 %3D %3D n-1

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Q: Ex 3.5.1 Let a = 3 .5-7. 13 and b = 2 -* .5.7.11 - 13*. Show that a|b by finding an z such that b =…

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

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Q: az Q1:- Find the az and ax 2, if Z = x* sin x y, ay

A: In this question we have to find derivatives of z w.r.t x and y . We will use product rule.

Q: EXАMPLE 3. P(X) Find u and o. 2 0.042 0.010 4 0.021 0.375 0.188 7 0.344 8 0.021

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Q: Problem 4: Let 2 -21 0 and U =- 2, then determine if 1 ] U is in Nul A U is in Col A -1 A= 2 -1 3 -1…

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Q: Given that tan² O +1 00|m O ± IN 11 8 000 = 100 8S 3 8, what is the value of sec e?

A: I have stated the used formula in the solution.

Q: If Z = Inh and h = √n+3 tan-¹ m,m = 1, n=-2 then Om equals

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Q: Given that 4 cos z - 2 sin z= a cos 2x + b, the values of a = %3D and ||

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Q: Problem 21. Suppose S,T E L(V) are such that ST = TS. Prove that null S is invariant under T.

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Q: 13 12 C A C 13 12 12 13 13 4. sin B = [ Select] 5. cos B = [ Select ] 6. tan B= 1 Select) 5 Σ

A: Using right angle  triangle property

Q: If the L[ eat cos2t] = (s-a)/( s2 - bs +31), determine the value of a.

A: Some of the formulas of Laplace transform Leat=1s-aLcosat=1s2+a2Leatcosbt=s-a(s-a)2+b2

Q: A GIVEN: AB 1 BC, DC 1 BC, DE 1 AC. PROVE: X1 = X2. C DI

A: Given that:…

Q: Determine the solution of the given in the 4th quadrant. 2sin(0) - V3 = 0 O 290° + 360°n O 315° +…

A: Angle in fourth quadrant is 360-θ Solution for θ in fourth quadrant is:        = (360-θ)+360°(n)

Q: if sin(P)=0.74 and p=3p=3, then q=

A: Given :  sin ( P) = 0.74  p =3

Q: 17 B 8 15 Sin A = 17 8. Sin C = 17 Option 1 Option 2 8 Cos C = 17 15 Cos C = 17 Option 3 Option 4

A: From the given triangle ABC AB=8,AC=17,BC=? By using Pythagoras theorem AC2=AB2+BC2 (17)2=(8)2+BC2…

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: Suppose that is an acute angle of a right triangle and tan(0) : = a) O sin(0) = b) sin(e) = c) O…

A: Given query is to indicated trigonometric functions.

Q: If sin a: 1 then sec a =?

A: We can solve this by using trigonometric identities . We can use the identity sin2α+cos2α=1 . By…

Q: 4. The definition of cos e using right triangles applies when (choose the correct answer): (b) 0 < 0…

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Q: Find (1+i)10 using DeMoivre's Theorem

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Q: b. Sketch r = 2. sin 20 %3D 90° 105° 75 120° 60° 135° 45 150° 30 165° 15 180 3 4 5 6 195° 345 210°…

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Q: If z = 1+2j, Determine sin z

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Q: Find the exact value of s in [0,π) and cos s=-1/2

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Q: 22. Given that4 cos 0 + 3 sin 0 = R sin(0 + a), the value of R and tan a are respectively 3 A 25…

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Q: 8 12 17 3) cot 0 4) csc 0 5 15 17 5) csc 0 6) cos e 14V2 7 21 16V2 24

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Q: Question 3 Which of the following pairs of values for witnesses C and no could be used to justify…

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Q: 2. If sec(a) = , then what is the value of cos(a)? 25.2 %3D 19.4 25.2 19.4 O 16.1 19.4 16.1 25.2…

A: secα=25.219.4cosα=1secα

Q: Student 1: Student 2: Student 3: Student 4: d d 500 sin 32° = d 500 sin 32° d sin 32° = 500 sin 32°…

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Q: Question 2 Which of the following pairs of values for witnesses C and no could be used to justify…

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Q: In ДАВС, АВ 1 ВС, АВ 15, and BC 8. Then the exact value of sin C is

A: Given :            In ∆ABC, AB ⊥ BC            AB = 15 and BC = 8   To find : Value of sin C

Q: If tan a = 1/12 and tan ß = 11/13, find a + B, given that 0 < a < n/2 and 0 <B < n/2. Hint: Compute…

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Q: Indicate the two quadrants e could terminate in if sin A (Select all that apply.) O quadrant I O…

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Q: 5. If sec(a) 25.2, then what is the value of cos(a)? 19.4 16.1 19.4 19.4 25.2 25.2 19.4 16.1 25.2

A: Given query is to find the Indicated angle.

Q: 31. Refer to Figure 23(B). Compute cos y, sin , cot , and csc ự. 0.3 (A) (B)

A: Solution: Consider the given figure (B), hypotenuse= h = 1 base = b = 0.3 So, the perpendicular  = p…

Q: 4) Find the exactvalue coslu+v) that tan and cos v 3 in Q1, and Vin Q3) 7

A: Question is solved.

Q: अक तर 31)let Sin A=3 with Ain Q and sinB=-5 with Bin GOE find Sin(Ate), COSCA+B) (A+8)

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Q: 36sin(t)cos(t)=−16cos(t)

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Q: A GIVEN: AB I BD, ED I BD. PROVE: XA = XE. C

A: We will use these three concept here  1- perpendicular makes an angle of 90° 2- vertical angle are…

Q: az Q1:- Find the az and ax if Z = x* sin x y³. ду

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Q: 11. If triangle AABC exists such that c= 1, y = and sin 3 = then b is V2 В. 4 С. 4/2 A. 2/2 D.

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Q: Question 2. Consider the formulas (i) ((A→ B) → A) → A (ii) A → (B → (A – A)) where A and B are…

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Q: Determine the correct equation of the following graph. 5 4 3 -75 -60 45 -30 –16 15 30 45 60 5 -2 -3…

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Q: 4 If sin A = 3 with A in QI, and sin B = with B in QII, find sin (A + B) 7 sin (A + B) = 26 %3D 9…

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Q: Given matA and matC. solve for C x A 1 [2 A = 13 .c = %3D Choose 1st Row = 1, -2 and 2nd Row = 4, 3…

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Q: Question 1 Mark all tautologies. q→[(pV q)^¬p] [(p^g)V r]→(q V r) (p^g)^¬r→(¬pA r)

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Q: Find the areas of the regions . 1. Inside one leaf of the four-leaved rose r = cos 2u 2. Inside one…

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Q: Theorem 8.13. Let 0 <q <p<. Iffe L'OL", then fe l' rall q<r<p.

A: It is given that  0 &lt; q &lt; p &lt; ∞  and if f ∈ Lp∩Lq then we have to show that  f ∈ Lr  ∀  q…

Q: For the missing elements to satisfy the condition A-1 + 14 = E %3D 1 e b 3 -2 -3 A = 4 -2 i Ly a 268…

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