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If secθ + tanθ = 3, then the value of 
- a)13/7
- b)5/7
- c)1/7
- d)11/7
Correct answer is option 'C'. Can you explain this answer?
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If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/...
(a – b)2 = a2 + b2 – 2ab
Given that, secθ + tanθ = 3
⇒ secθ = 3 – tanθ
Squaring both side,
⇒ sec2θ = 9 – 6×tan θ + tan2θ
We know that, sec2θ = 1 + tan2θ
∴ 1 + tan2θ = 9 – 6 × tanθ + tan2θ
⇒ 6 × tanθ = 8
Now, we have to calculate
Putting the value of tan θ
Given that, secθ + tanθ = 3
⇒ secθ = 3 – tanθ
Squaring both side,
⇒ sec2θ = 9 – 6×tan θ + tan2θ
We know that, sec2θ = 1 + tan2θ
∴ 1 + tan2θ = 9 – 6 × tanθ + tan2θ
⇒ 6 × tanθ = 8
Now, we have to calculate
Putting the value of tan θ
Most Upvoted Answer
If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/...
Sec2(theta)-tan2(theta)=1
therefore (sec(theta)+tan(theta))X(sec(theta)-tan(theta))=3
therefore sec(theta)-tan(theta)=1/3
by further solving above ,
3sin(theta)+cos(theta)=3 eq 1
and, by solving sec(theta)+tan(theta)=3,you will get,
3cos(theta)-sin(theta)=1 eq 2
by solving eq 1 and eq 2,we get
sin(theta)=4/5 and cos(theta)=3/5
therefore tan(theta)=4/3
by putting this value,you get,
(tan(theta)-1)/(tan(theta)+1)=1/7 i.e option C
therefore (sec(theta)+tan(theta))X(sec(theta)-tan(theta))=3
therefore sec(theta)-tan(theta)=1/3
by further solving above ,
3sin(theta)+cos(theta)=3 eq 1
and, by solving sec(theta)+tan(theta)=3,you will get,
3cos(theta)-sin(theta)=1 eq 2
by solving eq 1 and eq 2,we get
sin(theta)=4/5 and cos(theta)=3/5
therefore tan(theta)=4/3
by putting this value,you get,
(tan(theta)-1)/(tan(theta)+1)=1/7 i.e option C
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If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/7Correct answer is option 'C'. Can you explain this answer?
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If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/7Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/7Correct answer is option 'C'. Can you explain this answer?.
If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/7Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If secθ + tanθ = 3, then the value ofa)13/7b)5/7c)1/7d)11/7Correct answer is option 'C'. Can you explain this answer?.
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