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If Alpha Belongs To 0 Pi 2 Then Root Of X Square Plus X

1) 2 tan α 2) 1 3) 2 4) sec2α Answer: (1) 2 tan α Solution: Given that α ∈ (0, π/2) Thus, tan α is positive. Let √(x2 + x) and... View Article

3 Sin 4 3pi 2 Alpha Plus Sin4 3pi Alpha Minus 2 Sin 6 Pi 2 Alpha

1) 0 2) 1 3) 3 4) sin 4α + sin 6α Answer: (2) 1 Solution: 3[sin4(3π/2 - α) + sin4(3π + α)] - 2[sin6(π/2 + α) + sin6(5π - α)] =... View Article

If X Cos Theta Y Cos Theta 2pi 3 Z Cos Theta 4pi 3 Then

1) 1 2) 2 3) 0 4) 3 cos θ Answer: (3) 0 Solution: Given, x cos θ = y cos(θ + 2π/3) = z cos(θ + 4π/3) Let x cos θ = y cos(θ +... View Article

Let Alpha Beta Be Such That Pi Alpha Minus Beta 3pi

1) -6/65 2) 3/√130 3) 6/65 4) -3/√130 Answer: (4) -3/√130 Solution: Given, sin α + sin β = -21/65....(i) cos α + cos β =... View Article

If X 1 X 2 X 3 X N Are In Ap Whose Common Difference Is Alpha Then

1) [sin(n - 1)α]/ (cos x1 cos xn) 2) sin nα/(cos x1 cos xn) 3) sin(n - 1)α cos x1 cos xn 4) sin nα cos x1 cos xn Answer: (1) [sin(n -... View Article

If Tan Theta Root 3 2 The Sum Of The Infitinite Sereies 1 2 1 Cos Theta

1) 2/3 2) √3/4 3) 5/2√2 4) 5/2 Answer: (4) 5/2 Solution: Let S = 1 + 2(1 - cos θ) + 3(1 - cos θ)2 + 4(1 - cos θ)3 + .... ∞... View Article

If Alpha Beta Gamma Delta Are The Smallest Positive Angles

1) 2√(1 - k) 2) (1/2)√(1 + k) 3) 2√(1 + k) 4) None of these Answer: (3) 2 √(1 + k) Solution: Given, α < β < γ < δ And... View Article

If Sin X Plus Sin Square X 1 Then The Value Of Expression

1) 0 2) 1 3) -1 4) 2 Answer: (2) 1 Solution: Given, sin x + sin2x = 1 sin x = 1 - sin2x sin x = cos2x....(i) cos12x + 3 cos10x... View Article

If K Sin Pi 18 Sin 5pi 18 Sin 7pi 18 Then The Numerical Value Of K Is

1) 1/4 2) 1/8 3) 1/16 4) None of these Answer: (2) 1/8 Solution: Given, k = sin π/18 sin 5π/18 sin 7π/18 k = sin 10° sin 50° sin 70°... View Article

If Sin 4 A A Plus Cos 4 A B 1 A Plus B Then The Value Of

1) 1/(a + b)3 2) a3b3/(a + b)3 3) a2b2/(a + b)2 4) None of these Answer: (1) 1/(a + b)3 Solution: sin⁴A/a + cos⁴A/b = 1/(a + b)... View Article

If Tan A Minus B 1 Sec A Plus B 2 Root3 Then The Smallest

1) (25/24)π 2) (19/24)π 3) (13/24)π 4) (11/24)π Answer: (2) (19/24)π Solution: tan(A - B) = 1 sec(A + B) = 2/√3 tan(A - B) = tan... View Article

Where Is Alkali Found

Alkali metals (elements belonging to group 1 of the modern periodic table) are known to be highly reactive and are, therefore, typically found in... View Article

How Many Nodes Are In A 2p Orbital

The 2p orbital is known to have a total of one node. It can also be noted that the 1s orbital has no nodes.... View Article

Whats Another Word For Corrosion

The term 'rusting' is often used synonymously with the term 'corrosion'. However, it can be noted that the term 'rusting' typically refers to the... View Article

Is Youngs Modulus The Same As Stiffness

The stiffness of a component is known to be a function of both the material and the geometry. At the material end, the stiffness of a substance... View Article

Does Bi2o5 Exist

The chemical compound Bi2O5 (or bismuth pentoxide) is not known to be a pure compound. Moreover, it is known to be a mixture of various compounds... View Article

Whats The Difference Between Plaster And Plaster Of Paris

Plaster of Paris is known to be one of three primary types of plaster. Other notable types of plaster include lime plaster (which is made from... View Article

What Is The Value Of Spdf

The values of the azimuthal quantum numbers for the s, p, d, and f subshells are 0, 1, 2, and 3 respectively. The s subshell can hold a total of... View Article

What Is K In Vertex Form

K is known to represent a vertical shift (the distance the graph has shifted from y = 0). For a given quadratic equation y = ax2 + bx + c, the... View Article

Why Are Buffers Weak Acids And Bases

A buffer solution is a mixture of a weak acid and its conjugate base or a mixture of a weak base and its conjugate acid. Buffer solutions are... View Article