If Sec Theta 1 1 4 Then Tan Theta 2 Equals To 1) 1/3 2) 3/4 3) 1/4 4) 5/4 Answer: (1) 1/3 Solution: Given, sec θ = 1 1/4 = 5/4 cos θ = 1/sec θ = 4/5 We know that cos 2A = (1... View Article
If Cos Theta 3 5 And Cos Phi 4 5 Where Theta And Phi Are Positive Acute 1) 7/√2 2) 7/5√2 3) 7/√5 4) 7/2√5 Answer: (2) 7/5√2 Solution: Given, cos θ = 3/5 and cos Φ = 4/5, where θ and Φ are positive acute... View Article
Cot Square 15 Minus 1 Cot Square 15 Plus 1 1) 1/2 2) √3/2 3) 3√3/4 4) √3 Answer: (2) √3/2 Solution: (cot215° - 1)/(cot215° + 1) = [(1/tan215°) - 1]/ [(1/tan215°) + 1] = (1... View Article
Cos Pi 11 Plus Cos 3pi 11 Plus Cos 5pi 11 Cos 7pi 11 1) -1/2 2) 1/2 3) 1 4) -1 Answer: (2) 1/2 Solution: cos π/11 + cos 3π/11 + cos 5π/11 + cos 7π/11 + cos 9π/11 Multiplying and... View Article
The Value Of Tan 40 Plus Tan 20 Plus Root3 Tan 20 Tan 40 Is 1) √12 2) 1/√3 3) 1 4) √3/2 5) √3 Answer: (5) √3 Solution: 60° = 40° + 20° Taking “tan” on both sides, tan 60° = tan(40° +... View Article
If 8 Cos 2theta Plus 8 Sec 2theta 65 0 Theta Pi 2 Then 1) -33/8 2) -31/8 3) -31/32 4) -33/32 Answer: (2) -31/8 Solution: 8 cos 2θ + 8 sec 2θ = 65, 0 < θ < π/2 8 cos 2θ + (8/cos... View Article
The Value Of 1 8 Of 3 4 Cos 2theta Cos 4theta Is 1) cos 4θ 2) sin 4θ 3) sin4θ 4) cos4θ 5) sin 4(θ/2) Answer: (3) sin4θ Solution: (1/8) (3 - 4 cos 2θ + cos 4θ) Using the formula... View Article
If Alpha Beta Are Solutions Of 6 Cos Theta Plus 8 Sin Theta 9 Then 1) 3/5 2) 4/5 3) 24/25 4) 12/13 Answer: (3) 24/25 Solution: Given, 6 cos θ + 8 sin θ = 9 2(3 cos θ + 4 sin θ) = 9 3 cos θ + 4... View Article
Cos Alpha Sin Beta Minus Gamma Plus Cos Beta Gamma Minus Alpha 1) 0 2) 1/2 3) 1 4) 4 cos α cos β cos γ Answer: (1) 0 Solution: cos α sin(β - γ) + cos β sin(γ - α) + cos γ sin(α - β) = cos α(sin... View Article
The Expression Cos 6x 6 Cos 4x 15 Cos 2x 10 Cos 5x 5 Cos 3x 10 Cos X 1) cos 2x 2) 2 cos x 3) cos2x 4) 1 + cos x Answer: (2) 2 cos x Solution: (cos 6x + 6 cos 4x + 15 cos 2x + 10)/(cos 5x + 5 cos 3x +... View Article
If Sin A Sin 2a X And Cos A Cos 2a Y Then X 2 Y 2 1) 2y 2) y 3) 3y 4) None of these Answer: (1) 2y Solution: Given, sin A + sin 2A = x cos A + cos 2A = y Now, x2 + y2 = (sin A +... View Article
Sin B Plus A Plus Cos B Minus A Sin B Minus A Cos B Plus A 1) (cos B + sin B)/(cos B - sin B) 2) (cos A + sin A)/(cos A - sin A) 3) (cos A - sin A)/(cos A + sin A) 4) None of these Answer: (2)... View Article
2 Cos X Minus Cos 3x Minus Cos 5x Equals To 1) 16 cos3x sin2x 2) 16 sin3x cos2x 3) 4 cos3x sin2x 4) 4 sin3x cos2x Answer: (1) 16 cos3x sin2x Solution: 2 cos x - cos 3x - cos... View Article
Cos Square Pi 6 Plus Theta Minus Sin Square Pi 6 Minus Theta 1) (1/2) cos 2θ 2) 0 3) -(1/2) cos 2θ 4) 1/2 Answer: (1) (1/2) cos 2θ Solution: cos2(π/6 + θ) - sin2(π/6 - θ) Using the formula... View Article
Cos A Plus Cos 240 Plus A Plus Cos 240 Minus A 1) cos A 2) 0 3) √3 sin A 4) √3 cos A Answer: (2) 0 Solution: cos A + cos(240° + A) + cos(240° - A) Using the formula cos(A + B) +... View Article
The Value Of Sin 600 Cos 330 Cos 120 Sin 150 Is 1) -1 2) 1 3) 1/√2 4) √3/2 Answer: (1) -1 Solution: sin 600° cos 330° + cos 120° sin 150° = sin(360° + 240°) cos(360° - 30°) +... View Article
1 Plus Cos 2x Plus Cos 4x Plus Cos 6x Equals To 1) 2 cos x cos 2x cos 3x 2) 4 sin x cos 2x cos 3x 3) 4 cos x cos 2x cos 3x 4) None of these Answer: (3) 4 cos x cos 2x cos 3x... View Article
Sin 3theta Plus Sin 5theta Plus Sin 7theta Plus Sin 9theta 1) tan 3θ 2) cot 3θ 3) tan 6θ 4) cot 6θ Answer: (3) tan 6θ Solution: (sin 3θ + sin 5θ + sin 7θ + sin 9θ)/ (cos 3θ + cos 5θ + cos 7θ... View Article
1 Tan 2 Cot 62 Tan 152 Cot 88 Equals To 1) √3 2) -√3 3) √2 - 1 4) 1 - √2 Answer: (2) -√3 Solution: (1 - tan 2° cot 62°)/(tan 152° - cot 88°) = [1 - tan(90° - 88°) cot... View Article
Tan 3a Minus Tan 2a Minus Tan A Equals To 1) tan 3A tan 2A tan A 2) -tan 3A tan 2A tan A 3) tan A tan 2A - tan 2A tan 3A - tan 3A tan A 4) None of the above Answer: (1) tan 3A... View Article