Verify the identity. cotangent of x to the second power divided by quantity cosecant of x plus one equals quantity one minus sine of x divided by sine of x

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Verify the identity. cotangent of x to the second power divided by quantity cosecant of x plus one equals quantity one minus sine of x divided by sine of x

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

\[\cot^2x/\csc x +1 = 1 - \sin x/\sin x\]
try changing LHS to sine and cosines
(cos^2(x)/sin^2(x))/1/sin(x) = (cos^2(x)/sin^2(x))/sin(x)

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

just checking is the question |dw:1438357529236:dw|
(cos^2(x)/sin^2(x))/1/sin(x)+sin(x)/sin(x) = (cos^2(x)/sin^2(x))/sin(x)
yes
ok thnx
i'll write s for cos x and s for sin x |dw:1438357934242:dw| --
can you continue? 2 more steps and you are home
almost let me look at it
(1 - s) will cancel out
sorry (1 + s) will cancel out
on the third step where did you get c^2/s^2
c^2 / s^2 was carried on from second step
so the second step was simplified to that
- not very readable I know!
yes
ok so 1+s/s simplifies to s^2?
no in the second step c^2 / s^2 is divided by (1+s) / s so we invert the (1+ s) / s to s/(1 + s) then multiply
I understand now I just had to look at the equation a bit more
and in 4th step we replace cos^x by 1 - sin^ x
cos^2 x by 1 - sin^2 x
ok
this is the difference of 2 squares so simplifies to (1 - s)(1 + s)
yep i understand that
im ready for the next two steps
so now we can cancel out (1 + s) which appears in the top and bottom of the fractions |dw:1438358863645:dw|
thanks so much
yw
\[\frac{1-\sin(x)}{\sin(x)}=\frac{1}{\sin(x)}-\frac{\sin(x)}{\sin(x)}=\csc(x)-1\] \[\implies (\csc(x)-1).\frac{(\csc(x)+1)}{(\csc(x)+1)}=\frac{\csc^2(x)-1}{\csc(x)+1}=\frac{\cot^2(x)}{\csc(x)+1}\]
I've made use of the identities \[(a-b)(a+b)=a^2-b^2\] and \[1+\cot^2(x)= \csc^2(x)\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question