The Value Of Cos 2 Pi 12 Cos 2 Pi 4 Cos 2 5pi 12 Is
1) 3/2 2) 2/3 3) (3 + √3)/2 4) 2/(3 + √3) Answer: (1) 3/2 Solution: cos2(π/12) = [cos(π/2 –... View Article
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If Sin Theta Sin 2theta Sin 3theta Sin Alpha And Cos Theta Cos 2theta Cos 3theta Cos Alpha Then Theta Is
1) α/2 2) α 3) 2α 4) α/6 Answer: (1) α/2 Solution: Given, sin θ + sin 2θ + sin... View Article
If Cos X Cos Y Cos Alpha 0 And Sin X Sin Y Sin Alpha 0 Then Cot X Y 2
1) sin α 2) cos α 3) cot α 4) sin(x + y)/2 Answer: (3) cot α Solution: Given, cos... View Article
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 <... 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... 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 =... 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... 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... 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°... 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°... 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°... 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... 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° –... 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... 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 –... 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... 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 +... 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 +... 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°... 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”... View Article
