If tan(A) – tan(B) = x and cot(B) –&nb

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

71.

What is cotA + cscA = ?

  • tanA2

  • cotA2

  • 2tanA2

  • 2cotA2


72.

What is cotA2 - tanA2 = ?

  • tan(A)

  • cot(A)

  • 2tan(A)

  • 2cot(A)


73.

If angle C of a triangle ABC is a right angle, then what is tan(A ) + tan(B) equal to ?

  • a2 - b2ab

  • a2bc

  • b2ca

  • c2ab


74.

What is cos80° + cos40° - cos20° = ?

  • 2

  • 1

  • 0

  • - 19


Advertisement
75.

If 2tan(A) = 3tan(B) = 1, then what is tan (A B) equal to ?

  • 15

  • 16

  • 17

  • 19


76.

What is sin(α + β) - 2sinαcosβ + sin (α - β) equal to ?

  • 0

  • 2sinα

  • 2sinβ

  • sinα + sinβ


Advertisement

77.

If tan(A) – tan(B) = x and cot(B) – cot(A) = y, then what is the value of cot(A B) ?

  • 1x + 1y

  • 1y - 1x

  • xyx + y

  • 1 + 1xy


C.

xyx + y

We have, tanA - tanB = x and cotB - cotA = y

 1cotA - 1cotB = x   tanA = 1cotA cotB - cotAcotAcotB = x        cotAcotB = yxWe know that,cotA - B = yx + 1ycotA - B = x + yxy


Advertisement
78.

What is the length of the chord of a unit circle which subtends an angle θ at the centre ?

  • sinθ2

  • cosθ2

  • 2sinθ2

  • 2cosθ2


Advertisement
79.

Consider the following statements :

1) cos(θ) + sec(θ) can never be equal to 1.5

2) tan(θ) + cot(θ) can never be less than 2

Which of the above statements is/are correct ?

  • 1 only

  • 2 only

  • Both 1 and 2

  • Neither 1 nor 2


80.

If If cscθ = 2921 where 0 < θ < 90°, then what is the value of 4secθ + 4tanθ = ?

  • 5

  • 10

  • 15

  • 20


Advertisement