SOLUTION: please help me on this problem:
find the area and all other trigonometric functions of a right triangle if sec (theta)=10/6.
Algebra.Com
Question 250341: please help me on this problem:
find the area and all other trigonometric functions of a right triangle if sec (theta)=10/6.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The secant is the reciprocal of the cosine, so if \ =\ \frac{10}{6})
then \ =\ \frac{3}{5})
.
Since \ +\ \sin^2(\Theta)\ = 1)
, if , then \ =\ \frac{4}{5})
Verification of the last calculation is left as an exercise for the student.
The cosecant is the reciprocal of the sine, so if then \ =\ \frac{5}{4})
Tangent is the sine over the cosine, so:
\ =\ \frac{\sin(\Theta)}{\cos(\Theta)}\ =\ \frac{\frac{4}{5}}{\frac{3}{5}}\ =\ \frac{4}{3})
Cotangent is the reciprocal of the tangent so:
\ =\ \frac{3}{4})
There is no way determine the area of the triangle for certain. Knowing that the secant is 10 over 6 only guarantees that the RATIO of the lengths of the sides is 10 to 6. A right triangle with legs of 10,000 miles and 6,000 miles has an angle whose secant is 10 over 6, but so does one that has legs of 40 angstroms and 24 angstroms. The only thing that you can say for certain is that for some real number 
, the area is 
John
RELATED QUESTIONS
find the angle and all other trigonometric functions of a right triangle if sec θ... (answered by stanbon)
Please help me to solve this problem
Find the values of all six trigonometric functions... (answered by Fombitz)
Can you do this for me ASAP? it is homework due in 45 minutes. Can you help me... (answered by josgarithmetic)
Im stuck on this question:
Sketch a right triangle corresponding to cosθ=5/7.... (answered by Fombitz)
Please help me solve this question:
If sin theta = -7/25 and cos theta < 0, find the... (answered by lwsshak3)
PLEASE HELP ME SOLVE THIS TRIGONOMETRIC FUNCTIONS:
sec(theta)>0 and csc(theta)<0 means... (answered by Photonjohn)
In class we are learning how to find the six trigonometric functions when given a point P (answered by josmiceli)
I have 2 questions"
1)Find all values of θ that satisfy the equation over the... (answered by rothauserc)
I could use a little help with this math question for my ACT prep worksheets I've been... (answered by lwsshak3)