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If Cos A Minus B Cos A Plus B Cos C Plus D Cos C Minus D Then

1) tan A tan B = tan C tan D 2) tan A tan B = -tan C tan D 3) tan A tan B tan C tan D = -1 4) None of these Answer: (3) tan A tan B tan C tan... View Article

If Cot A Root Ac Cot B Root C A Cot C Root A 3 C

1) A + B = C 2) B + C = A 3) C + A = B 4) None of these Answer: (1) A + B = C Solution: Given, cot A = √ac, cot B = √(c/a), cot C = √(a3/c),... View Article

If Alpha Beta 90 Degrees Then Maximum Value Of Sin Alpha Sin Beta Is

1) 1 2) 1/2 3) 2 4) None of these Answer: (2) 1/2 Solution: Given, α + β = 90° sin α sin β = sin α sin(90° - α) = sin α cos α = (1/2) (2 sin... View Article

If 3 Tan Theta Tan Phi Is 1 Then

1) cos(θ + φ) = cos(θ - φ) 2) cos(θ + φ) = 2 cos(θ - φ) 3) cos(θ + φ) = - cos(θ - φ) 4) 2 cos(θ + φ) = cos(θ - φ) Answer:(2) cos(θ + φ) = 2... View Article

If Sin Alpha Sin Beta Cos Alpha Cos Beta 1 0 Then

1) cot α + cot β = 0 2) 1 + cot α cot β = 0 3) 1 + tan α tan β = 0 4) none of these Answer: (4) None of these Solution: Given, sin α sin β –... View Article

If 3 Sin Theta 5 Cos Theta 5 Then 5 Sin Theta 3 Cos Theta Is

1) 4 2) ±3 3) 5 4) None of these Answer: (2) ±3 Solution: Given, 3 sin θ + 5 cos θ = 5....(i) Let 5 sin θ - 3 cos θ = p....(ii) Squaring and... View Article

If Tan 2 Theta 1 E 2 Then Sec Theta Tan 3 Theta Cosec Theta Is Equal To

1) √(2 - e2) 2) (2 - e2)3/2 3) 2 - e2 4) None of these Answer: (1) (2 - e2)3/2 Solution: Given, tan2θ = 1 - e2 sec θ + tan3θ cosec θ = sec... View Article

If Pi Theta 3pi 2 The Expression Root Of 4 Sin 4 Theta 2 Sin 2 2 Theta 4 Cos 2 Pi 4 Theta 2 Is

1) 2 2) 2 + 4 sin θ 3) 2 - 4 sin θ 4) None of these Answer: (1) 2 Solution: Given, π < θ < 3π/2 Here, sin θ is negative. Now, √(4 sin4θ... View Article

If Tan Theta Plus Tan Theta Pi 3 Plus Tan Theta Pi 3 K Tan 3theta Then K Is

1) 1 2) 3 3) 1/3 4) None of these Answer: (2) 3 Solution: Given, tan θ + tan(θ + π/3) + tan(θ - π/3) = K tan 3θ LHS = tan θ + tan(θ + π/3) +... View Article

If X Sin Theta Y Sin Theta 2pi 3 Z Sin Theta 4pi 3 Then Xy Yz Zx Is

1) 1 2) 1/2 3) 0 4) None of these Answer: (3) 0 Solution: Given, x sin θ = y sin(θ + 2π/3) = z sin(θ + 4π/3) Consider, x sin θ = y sin(θ +... View Article

Cos Pi N Cos 2pi N Cos 3pi N Cos N 1 Pi N Is Equal To

1) 1 2) -1 3) 0 4) None of these Answer: (3) 0 Solution: We know that, cos θ + cos 2θ + cos 3θ + ....+ cos nθ = [sin nθ/2 cos (n + 1)θ/n]/... View Article

How Do You Know If A Half Reaction Is Oxidation Or Reduction

If there is a loss of electrons, then the half-reaction will be the oxidation half-reaction. On the other hand, a reduction half-reaction will be... View Article

What Is One Possible Set Of Quantum Numbers For A 4d Orbital

For a 4d orbital, the value of n (principal quantum number) will always be 4 and the value of l (azimuthal quantum number) will always be equal... View Article

How Do You Tell If An Equation Is Exothermic Or Endothermic

In a chemical reaction, if the sum of the enthalpies of all the reactants is greater than the sum of the enthalpies of all the products, the... View Article

How Do You Know If A Molecule Is Polar Or Nonpolar

In order to determine whether a molecule is polar or nonpolar, all its polar covalent bonds must be represented in terms of arrows pointing to... View Article

How Do You Determine If A Covalent Bond Is Polar Or Nonpolar

In order to determine the polarity of a covalent bond between two elements, the difference between the electronegativities of the bonded atoms... View Article

What Is The Difference Between Clemmensen Reduction And Wolff Kishner Reduction

The Wolff-Kishner reduction reaction usually proceeds under strongly basic conditions in the presence of a large amount of heat. This reaction is... View Article

Why Is The Work Done On An Object Moving With Uniform Circular Motion Is Zero

Mathematically, the work done on an object can be represented as the product of the force applied and the distance covered in the direction of... View Article

What Is The Ratio Of Mass Of An Electron To The Mass Of A Proton

The ratio of the mass of an electron to that of a proton is roughly 1:1837. Therefore, the mass of an electron is negligible when compared to the... View Article

How Many Nodes Are There In The 1s 2p And 3d Orbitals How Many Nodes Are In A 4f Orbital

All four of these orbitals have 0 nodes. The 1s, 2p, 3d, and 4f orbitals have 0 nodes because the total number of nodes is given by n-l-1 (where... View Article

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