ExamCompetition Forum Question Papers Ask A Question Mock Test Learn & Earn Sign Up Login Menu



0 vote

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?

Asked on by | Votes 0 | Views: 179 | Tags: miscellenaeous     | Add Bounty

If sec2θ + tan2θ = 5/3, then what is the value of tan2θ?
1). 2√3
2). √3
3). 1/√3
4). Cannot be determined


Share on Facebook      Share on Whatsapp       Share on Twitter




1 answers

3 vote
Answered by on | Votes 3 |

Using property sec2(x) = 1 + tan2(x)

⇒ sec2θ + tan2θ = 5/3

⇒ 1 + tan2θ + tan2θ = 5/3

⇒ 2tan2θ = 2/3

⇒ tanθ = 1/√3

⇒ θ = 30

∴ tan(2θ) = tan(60) = √3

Join Telegram Group




Answer This Question

Name:
Email:
Answer :
Sum of (4+2)
Submit:

Other Questions

1. Following questions are completely based upon numbers. In the test, every question consists of four numbers labelled as option A, B, C and D. Your task is to find out the group of digits which contains a “9”. If digit “9” exists in any number (option) then your answer is that option. If more than one number (option)  has digit 9, the answer will be E.A.88717533   B.82903381   C.43385527   D.1846787

2. Who among the following is the President of Athletics Federation of India?

3. Following questions are completely based upon numbers. In the test, every question consists of four numbers labeled as option A, B, C and D. Your task is to find out the group of digits which contains a “9”. If digit “9” exists in any number (option) then your answer is that option. If more than one number (option) has digit 9, the answer will be E. A.6192540   B.24280   C.8177751   D.7606187

4. For maximum horizontal range, the angle of projection of a projectile should be

5. Pointing to a photograph, a woman says, "This man's son's sister is my mother-in-law." How is the woman's husband related to the man in the photograph?

6. The age ratio of a couple changes from 5 ∶ 7 to 3 ∶ 4 in 7 years. What is the difference between their ages?

7. Two numbers are in the ratio of 5 ∶ 7. If the twice of smaller number is less than twice of the larger number by 30. The value of smaller number is_________

8. There is polygon of 12 sides. How many triangles can be drawn using the vertices of that polygon?

9. System design specification is the end-product of _________.

10. The variance of a set of data is 121. Then the standard deviation of the data is: