SOLUTION: Multiply and simplify. (sin x

SOLUTION: Multiply and simplify. (sin x - cos x)(sec x + csc x)

Question 928302: Multiply and simplify.
(sin x - cos x)(sec x + csc x)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Multiply and simplify.
(sin x - cos x)(sec x + csc x)
----
= sin(x)(sec(x)+csc(x)) - cos(x)(sec(x)+csc(x))
----
= tan(x)+1 - (1-cot(x))
----
= tan(x) + cot(x)
======================
Cheers,
Stan H.
----------------
RELATED QUESTIONS
Multiply and simplify. (sin x - cos x)(sec x + csc... (answered by tommyt3rd,Alan3354)

Simplify:... (answered by jim_thompson5910)

Simplify this using trig identities (csc(x))/(sin^2(x)+sec(x)+cos(x)^(2)-1) (answered by MathLover1)

Write each expression in terms of sines and/or cosines and then simplify.... (answered by MathLover1,mananth,Edwin McCravy)

Simplify do not solve (cos x)/(csc x - sin... (answered by drcole)

Simplify: ((cos^2(x))/sin (x)) +csc... (answered by tommyt3rd)

simplify sec x / csc x + csc x / sec... (answered by MathLover1)

tan(x) [sec(x) - cos(x)] ________________________ sin (x)... (answered by mananth)

Prove . (sin x + cos x)(tan x + cot x) = sec x + csc... (answered by math-vortex)