prove that
sin theta /1-cot theta + costheta/1-tantheta = sin theta+ cos theta
Attachments:
Answers
Answered by
0
Answer:
=>
1−tanA
cosA
+
1−cotA
sinA
=>
1−
cosA
sinA
cosA
+
1−
sinA
cosA
sinA
=>
cosA
cosA−sinA
cosA
+
sinA
sinA−cosA
sinA
=>
cosA−sinA
cos
2
A
+
sinA−cosA
sin
2
A
=>−
sinA−cosA
cos
2
A
+
sinA−cosA
sin
2
A
=>
sinA−cosA
sin
2
A−cos
2
A
=>
sinA−cosA
(sinA−cosA)(sinA+cosA)
=>sinA+cosA
Hence, proved.
Similar questions