1800-150-456-789
FlagBACK
Flag Trigonometry> sec theta - tan theta = 3 => theta lies i...
question mark

sec theta - tan theta = 3 => theta lies in the quadrant

Vyanktesh Kulkarni , 8 Years ago
Grade 8
anser 1 Answers
Aamina

Last Activity: 8 Years ago

Given that 
sec\Theta-tan\Theta=3 ….............................equation (1)
 
We know that
 
sec2\Theta-tan2\Theta=1
 
From the identity
 
(sec\Theta+tan\Theta)(sec\Theta-tan\Theta)=1
 
So, sec\Theta+tan\Theta=1/3..........................equation (2)
 
On adding equations 1 and 2
 
2sec\Theta=3+1/3
 
2sec\Theta=10/3
 
sec\Theta=5/3
 
Similarly,
 
tan\Theta=4/3
 
as both the values of sec and tan are positive
 
theta is in first quadrant
 
Answer is first option.
 
HOPE THIS HELPS.

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Other Related Questions on trigonometry

question mark
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available

Last Activity: 2 Years ago

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
0 Answer Available

Last Activity: 3 Years ago