If Pi 2 Alpha Pi Pi Beta 3pi 2 Sin Alpha 15 17 And Tan Beta 12 5 Then 1) -171/221 2) -21/221 3) 21/221 4) 171/221 Answer: (4) 171/221 Solution: Given, π/2 < α < π, π < β < 3π/2 sin α =... View Article
Tan 100 Plus Tan 125 Plus Tan 100 Tan 125 Is Equal To 1) 0 2) 1/2 3) -1 4) 1 Answer: (4) 1 Solution: 100° + 125° = 225° Taking “tan” on both sides, tan(100° + 125°) = tan 225° Using... View Article
If Cos A Minus B Is 3 5 And Tan A Tan B 2 Then 1) cos A cos B = 1/5 2) sin A sin B = -2/5 3) cos A cos B = -1/5 4) sin A sin B = -1/5 Answer: (1) cos A cos B = 1/5 Solution:... View Article
Sin 70 Cos 40 Cos 70 Sin 40 Is Equal To 1) 1 2) 1/√3 3) √3 4) 1/2 Answer: (3) √3 Solution: (sin 70° + cos 40°)/(cos 70° + sin 40°) = [sin 70° + cos(90° - 50°)]/ [cos(90°... View Article
The Value Of Sin Pi 16 Sin 3pi 16 Sin 5pi 16 Sin 7pi 16 Is 1) 1/16 2) √2/16 3) 1/8 4) √2/8 Answer: (2) √2/16 Solution: sin(π/16) sin(3π/16) sin(5π/16) sin(7π/16) = (1/4) [2 sin 7π/16 sin... View Article
The Value Of Cos 52 Cos 68 Cos 172 Is 1) 0 2) 1 3) 2 4) 3/2 Answer: (1) 0 Solution: cos 52° + cos 68° + cos 172° = cos(60° - 8°) + cos(60° + 8°) + cos(180° - 8°) Using... View Article
The Value Of Cos 12 Cos 84 Cos 156 Cos 132 Is 1) 1/2 2) 1 3) -1/2 4) 1/8 Answer: (3) -1/2 Solution: cos 12° + cos 84° + cos 156° + cos 132° = (cos 132° + cos 12°) + (cos 156° +... View Article
Cos 2 76 Cos 2 16 Cos 76 Cos 16 Is Equal To 1) -1/4 2) 1/2 3) 0 4) 3/4 Answer: (4) 3/4 Solution: cos276° + cos216° - cos 76° cos 16° Multiplying and dividing by 2, = (1/2)... View Article
Tan 5x Tan 3x Tan 2x Is Equals To 1) tan 5x - tan 3x - tan 2x 2) (sin 5x - sin 3x - sin 2x)/ (cos 5x - cos 3x - cos 2x) 3) 0 4) None of these Answer: (1) tan 5x - tan 3x - tan... View Article
The Value Of Cos 15 Minus Sin 15 Is Equal To 1) 1/√2 2) 1/2 3) -1/√2 4) 0 Answer: (1) 1/√2 Solution: cos 15° - sin 15° = cos(90° - 75°) - sin 15° = sin 75° - sin 15° Using... View Article
If Sin Theta Alpha A And Sin Theta Beta B Then 1) 1 - a2 - b2 2) 1 - 2a2 - 2b2 3) 2 + a2 + b2 4) 2 - a2 - b2 Answer: (2) 1 - 2a2 - 2b2 Solution: sin(θ + α) = a and sin(θ + β) = b Using... View Article
If Cos Theta 8 17 And Theta Lies In The 1st Quadrant Then 1) (23/17) [(√3 - 1)/2 + (1/√2)] 2) (23/17) [(√3 + 1)/2 + (1/√2)] 3) (23/17) [(√3 - 1)/2 - (1/√2)] 4) (23/17) [(√3 + 1)/2 - (1/√2)]... View Article
If Cos Alpha Beta 4 5 Sin Alpha Beta 5 13 And Alpha Beta Lie Between 0 And Pi 4 Then 1) 16/63 2) 56/33 3) 28/33 4) None of these Answer: (2) 56/33 Solution: Given, cos(α + β) = 4/5 sin(α - β) = 5/13 Thus, sin(α + β) = 3/5... View Article
Sin 2 A Sin 2 B Sin A Cos A Sin B Cos B Equals To 1) tan(A - B) 2) tan(A + B) 3) cot(A - B) 4) cot(A + B) Answer: (2) tan(A + B) Solution: (sin2A - sin2B)/ (sin A cos A - sin B cos... View Article
If Cos A Plus B Alpha Cos A Cos B Beta Sin A Sin B Then Alpha Beta Is 1) (-1, -1) 2) (-1, 1) 3) (1, -1) 4) (1, 1) Answer: (3) (1, -1) Solution: Given, cos(A + B) = α cos A cos B + β sin A sin B By... View Article
1 Sin 10 Minus Root3 Cos 10 Equals To 1) 1 2) 0 3) 2 4) 4 Answer: (4) 4 Solution: (1/sin 10°) - (√3/cos 10°) = (cos 10° - 3 sin 10°)/ (sin 10° cos 10°) = [2{(1/2) cos... View Article
If A B Pi 4 Then 1 Tan A 1 Tan B Equals To 1) 1 2) 2 3) ∞ 4) -2 Answer: (2) 2 Solution: Given, A + B = π/4 Taking “tan” on both sides, tan(A + B) = tan π/4 (tan A + tan... View Article
If Sin A 4 5 And Cos B 12 13 Where A And B Lie In First And Third Quadrant 1) 56/65 2) -56/65 3) 16/65 4) -16/65 Answer: (4) -16/65 Solution: Given, sin A = 4/5 {A lies in quadrant I} cos A = 3/5 Also,... View Article
If A Plus B 225 Then Cot A 1 Cot A Cot B 1 Cot B Equals To 1) 1 2) -1 3) 0 4) 1/2 Answer: (4) 1/2 Solution: Given, A + B = 225° Taking “ cot” on both sides, cot(A + B) = cot 225° [(cot A cot B -... View Article
Tan 75 Degrees Minus Cot 75 Degrees Equals To 1) 2√3 2) 2 + √3 3) 2 - √3 4) None of these Answer: (1) 2√3 Solution: tan 75° - cot 75° = (sin 75°/cos 75°) - (cos 75°/sin 75°) =... View Article