SOLUTION: find the expression of y in terms of x if: 1. 1/sin[x]=1/cos[y] 2. 1/sin[y]=1/cos[x]

Question 1179286: find the expression of y in terms of x if:
1. 1/sin[x]=1/cos[y]
2. 1/sin[y]=1/cos[x]
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

in terms of if:
1.
........cross multiply

2.

Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.

            If in a test or in exam you will solve the problem in a way how @Mathlover1 does it
            and teaches you, you will get an UNSATISFACTORY score MOMENTARILY.

            I came to solve this problem in a proper way, how it SHOULD BE done.

(1) 1/sin(x) = 1/cos(y). It implies that sin(x) = cos(y), which means that x + y = , or, equivalently, y = . Part (2) is the same.

Solved   //   (correctly)

RELATED QUESTIONS
Write the given expression in terms of x and y only! sin(sin^-1 x + cos^-1 y)... (answered by Fombitz,ikleyn,Edwin McCravy)
Write the given expression in terms of x and y only. cos(sin^-1(x) -... (answered by Edwin McCravy)
if x+y=90 degrees which of the following is true? sin x = sin y tan x = tan y sin x (answered by solver91311)
Suppose sin x = 1/7 cos x > 0, sin y = −2/5 and cos y < 0. Then cos x = cos y (answered by ewatrrr)
Suppose sin x = 1/7 cos x > 0, sin y = −2/5 and cos y < 0. Then cos x = cos y (answered by stanbon)
Suppose sin x = 1/7 cos x > 0, sin y = −2/5 and cos y < 0. Then cos x =... (answered by lwsshak3)
Suppose sin x = 5/7 cos x > 0, sin y = − 1/5 and cos y < 0. Then cos x = cos... (answered by lwsshak3)
Write the given expression in terms of x and y only. sin(tan^−1(x) −... (answered by ikleyn)
What are the sequence of steps that verify the identity (cot x + cot y) / (cot x cot y... (answered by lwsshak3)