csc2 6α − cot2 6α

Question

0

788

3

sin³ θ + cos³ θ

sin θ + cos θ

Guest May 15, 2014

+118723

+10

Best Answer

$$cosec^26a-cot^26a\\\\
=\frac{1}{sin^26a}-\frac{cos^26a}{sin^26a}\\\\
=\frac{1-cos^26a}{sin^26a}\\\\
=\frac{sin^26a}{sin^26a}\\\\
=1$$

Melody May 15, 2014

Melody · Answer 1 · 2014-05-15T05:26:49

$$cosec^26a-cot^26a\\\\
=\frac{1}{sin^26a}-\frac{cos^26a}{sin^26a}\\\\
=\frac{1-cos^26a}{sin^26a}\\\\
=\frac{sin^26a}{sin^26a}\\\\
=1$$

.

Melody · Answer 2 · 2014-05-15T05:02:28

I'm confused.

What is the question?

CPhill · Answer 3 · 2014-05-15T05:17:24

I think they might mean this:

csc^2 (6a) - cot^2 (6a)

If so, using a trig identity, the answer is (wait for it!!)

1 = ONE = "WUN" = "UNO"