θ is being an acute angle, it is given that Sec2θ + 4tan2θ = 6. What is the value of θ?
Show answer & explanation
Correct answer: A
Explanation
Correct Answer is option 1 i.e. 45
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Concept |
Understanding |
Application |
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Sec2θ – tan2θ = 1 |
Given Sec2θ + 4tan2θ = 6 |
Sec2θ + 4tan2θ = 6 We can write it as: Sec2θ – tan2θ + 5tan2θ = 6 1 + 5tan2θ = 6 5tan2θ = 5 tan2θ = 1 tanθ = 1 θ = 45 |