Given `sintheta=(3)/(5)`. Find all the other T-rations, if `theta` lies in the first quadrant.
Text Solution
Verified by Experts
In `Delta OMP, sin theta=(3)/(5)` so MP=3 and OP=5 `because OM=sqrt((5)^(2)-(3)^(2))=sqrt(25-9)=sqrt(!6)=4` Now, `cos theta=(OM)/(OP)=(4)/(5) tan theta =(MP)/(OM)=(3)/(4)` `cot theta=(OM)/(MP)=(4)/(3) sec theta=(OP)/(OM)=(5)/(4) cosec theta=(OP)/(MP)=(5)/(3)`
Topper's Solved these Questions
BASIC MATHS
ALLEN|Exercise EXERCISE-1|128 Videos
BASIC MATHS
ALLEN|Exercise EXERCISE-2|80 Videos
AIIMS 2019
ALLEN|Exercise PHYSICS|40 Videos
CIRCULAR MOTION
ALLEN|Exercise EXERCISE (J-A)|6 Videos
Similar Questions
Explore conceptually related problems
Find sin theta and tan theta if cos theta =-3/5 and theta lies in the third quadrant.
sec theta-tan theta=3 then theta lies in the quadrant
Find sin theta and tan theta if cos theta=-(12)/(13) andth eta lies in the third quadrant.
cos ec theta-cot theta=5rArr theta lies in the quadrant
If tan theta=3 and theta lies in third quadrant then sin theta=
If tan theta=3 and theta lies in third quadrant then sin theta=
If sin theta=(4)/(5) and theta is not in the first quadrant,find the value of cos theta
Find the value of theta if sec^(2)theta+tan^(2)theta=(5)/(3) and theta lies in first quadrant.
If cottheta=4/3 , then find the value of sintheta, costheta and "cosec "theta in first quadrant.
If tan theta=(1)/sqrt(5) and theta lies in the first quadrant, the value of cos theta is :