TRIGONOMETRIC RATIOS AND TRIGONOMETRIC IDENTITIES (CDS)

Total Questions: 108

71. If tan θ + sec θ = 2, then tan θ is equal to [2015 (II) Evening Shift]

Correct Answer: (a) 3/4
Solution:We have, tan θ + sec θ = 2

72. The minimum value of cos² x + cos² y - cos² z is [2015 (II) Evening Shift]

Correct Answer: (a) − 1
Solution:

73. The value of [2015 (II) Evening Shift]

Correct Answer: (d) 3√3
Solution:We have,

74. If tan(A + B) = √3 and tan A = 1 then tan(A - B) is equal to [2015 (I) Morning Shift]

Correct Answer: (c) 1√3
Solution:Given, tan(A + B) = √3

75. If cos A = tan B, cos B = tan C and cos C = tan A, then sin A is equal to [2015 (I) Morning Shift]

Correct Answer: (b)
Solution:Let sin A = x ...(i)




76. Solve the following equation [2015 (I) Morning Shift]

Correct Answer: (a)
Solution:

77. If tan A + cot A = 4, then tan⁴ A + cot⁴ A is equal to [2015 (I) Morning Shift]

Correct Answer: (d) 194
Solution:Given, tan A + cot A = 4

78. Solve the following equation [2015 (I) Morning Shift]

Correct Answer: (c) Both I and II
Solution:

79. Consider the following identity [2015 (I) Morning Shift]

Correct Answer: (a) Only I
Solution:


80. ABC is a right angled triangle at B and AB : BC = 3 : 4. What is sin A + sin B + sin C equal to? [2015 (I) Morning Shift]

Correct Answer: (c) 12/5
Solution:In right angled ∆ABC,