Question

Verify the identity.

cot θ ∙ sec θ = csc θ

How do you do that? Am I supposed to just plug this into the calc?

Answer 1

cot θ = cos θ / sin θ
sec θ = 1 / cos θ
Now multiply and simplify

Answer 2

convert to sines and cosines

Answer 3

\(\normalsize\color{blue}{ \cot θ = \sec θ~\cos θ }\)
\(\normalsize\color{blue}{ \sec θ = 1~/~\cos θ }\)

Answer 4

just re-write `cotx ` as `csc x cos x` and re-write `sec x` as `1/ cos x`

this is the shortest way.

Answer 5

This is to verify using 1 side only

Answer 6

Need any help, ask !

Answer 7

When you say rewrite...am I plugging
csc x cos x
1/ cos x

into the calculator rather than the original equation o.o

Answer 8

No calculators involved here. No numbers to plug in. Just some basic definitions of trig functions. Write the left hand side in terms of sine and cosine function mentioned in my first reply. Multiply. Use trig definition again to prove LHS equals RHS.