ACT Exam > ACT Questions > If θ is said to be an acute angle, and ...
Start Learning for Free
If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?
- a)1
- b)√3
- c)1/√3
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 &...
Given 7 sin2 θ + 3 cos2 θ = 4
=> 7 sin2 θ + 3 (1 - sin2 θ) = 4
=> 7 sin2 θ + 3 - 3sin2 θ = 4
Then, 4sin2 θ = 1
Or, sin θ = 1/2
So, θ = 300
Now, put θ = 300 in tan θ, we will get,
tan θ = 1/√3
=> 7 sin2 θ + 3 (1 - sin2 θ) = 4
=> 7 sin2 θ + 3 - 3sin2 θ = 4
Then, 4sin2 θ = 1
Or, sin θ = 1/2
So, θ = 300
Now, put θ = 300 in tan θ, we will get,
tan θ = 1/√3
Alternate
We can directly check the equation by putting values of θ. Let's put θ = 300
7 sin2 300 + 3 cos2 300= 4
Then, 7 * 1/4 + 3 * 3/4 = 4
So, 7/4 + 9/4 = 4
16/4 = 4
Or, 4 = 4 (so, it satisfy the condition)
Now, tan 300 = 1/√3
We can directly check the equation by putting values of θ. Let's put θ = 300
7 sin2 300 + 3 cos2 300= 4
Then, 7 * 1/4 + 3 * 3/4 = 4
So, 7/4 + 9/4 = 4
16/4 = 4
Or, 4 = 4 (so, it satisfy the condition)
Now, tan 300 = 1/√3
Free Test
FREE
| Start Free Test |
Community Answer
If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 &...
You have any specific questions, I would be happy to try and help!
|
Explore Courses for ACT exam
|
|
Similar ACT Doubts
Top Courses for ACTView all
If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Solutions for If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for ACT.
Download more important topics, notes, lectures and mock test series for ACT Exam by signing up for free.
Here you can find the meaning of If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If θ is said to be an acute angle, and 7 sin2 θ + 3 cos2 θ = 4, then what is the value of tan θ?a)1b)√3c)1/√3d)None of the aboveCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice ACT tests.
|
|
Explore Courses for ACT exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup