SOLUTION: If sin A=3/5 then find (tan A+sec A)^2

Algebra.Com
Question 993633: If sin A=3/5 then find (tan A+sec A)^2
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If sin A=3/5 then find (tan A+sec A)^2
-------
Since sin = y/r, y = 3 and r = 5
---
Then, x = sqrt[5^2-3^2] = sqrt(16) = 4
----
So, tan(A) = y/x = 3/4 and sec(A) = r/x = 5/4
---
Ans: (tan(A)+sec(A))^2 = (3/4+5/4)^2 = 2^2 = 4
--------------
Cheers,
Stan H.
-----------

RELATED QUESTIONS

tan a + sec a = 2, then find the values of sin a and cos... (answered by Alan3354)
Sec A + tan A =2 find sin A + cos A ? (answered by KMST)
If sin theata = a/b then find sec theata + tan theata (answered by Fombitz)
In the 3rd quadrant , if sin A = -3/5 and sec B = -13/12 then tan (A-B) = ? (answered by lwsshak3)
If {{{sin A =4/5}}}, find {{{tan... (answered by Fombitz)
1. if sin 21 degree = x/y, then sec 21 degree - sin 69 degree is equal to ? 2. if Sec... (answered by josgarithmetic)
if sin theta= -2/5 and tan theta <0 find cos, cot,sec,tan, and... (answered by stanbon)
if sin x=3/5,pi/2 < x < pi, then find the value of cos x,tan x,sec x and cot... (answered by ikleyn)
Find tan a and sec a, given the following: sin a =3/5 and cos a is less than... (answered by solver91311)