( sec x + tan x)^2 = 1+ sin x/1-sinx
Answers
Answer:
Dear parents,
Since last few days, several parents have been approaching us with a demand to reduce fees. They feel that as the physical classes are not taken, there is no cost incurred and as such the School must reduce the fees.
We are indeed surprised and a bit concerned about such a demand which has no basis. We request all of you to know that due to online learning, there is no cost saved except some small cost on power. The offices are all working. The staff attend the office on a daily basis.The teachers work hard and are almost on 24 by 7 mode to ensure your child remains engaged and gets tuned to new ways of learning. These teachers are to be paid every month for their work and efforts. Online mode does not bring any reduction in this cost. In fact the cost will increase due to investment in new technologies.
Our only request to all the parents is to be sensitive to the challenges we all face during this pandemic. All of you must appreciate the efforts of the teachers and staff who have to balance their responsibilities both for the students as well as their family.
So kindly keep these facts and realities in front of you and be assured that the School is not at all interested in making undue gains out of the fees.
Answer:
#{1+sin x}/{1-sin x} = {1+sin x}/{1-sin x} times {1+sin x}/{1+sin x} = {(1+sin x)^2}/{1-sin^2 x} = {(1+sin x)^2}/{cos^2x} = ({1+sin x}/{cos x})^2 = (sec x + tan x)^2#
Step-by-step explanation:
Explanation:
1
+
sin
x
1
−
sin
x
=
(
sec
x
+
tan
x
)
2
Right Side
=
(
sec
x
+
tan
x
)
2
=
(
sec
x
+
tan
x
)
(
sec
x
+
tan
x
)
=
sec
2
x
+
2
sec
x
tan
x
+
tan
2
x
=
1
cos
2
x
+
2
⋅
1
cos
x
⋅
sin
x
cos
x
+
sin
2
x
cos
2
x
=
1
+
2
sin
x
+
sin
2
x
cos
2
x
=
(
1
+
sin
x
)
(
1
+
sin
x
)
1
−
sin
2
x
=
(
1
+
sin
x
)
(
1
+
sin
x
)
(
1
+
sin
x
)
(
1
−
sin
x
)
=
1
+
sin
x
1
−
sin
x
=
Left Side