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Simplify the power of a power $\left(\cos\left(x\right)^5\right)^{\frac{x}{\sin\left(2x\right)-\tan\left(2x\right)}}$

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 Solution

 Videos

Pre-Calculus - How to simplify a trig expression using co-function, sin((pi/2) -x)/cos((pi/2) -x)

https://www.youtube.com/watch?v=LxdYYK2mnx4

Pre-Calculus - How to simplify a trigonometric expression by squaring a binomial (sin(x)+cos(x))^2

https://www.youtube.com/watch?v=e5IczuZxvVI

Simplifying basic trig identities - Math homework answers sec(x) (sin(x)/tan(x))

https://www.youtube.com/watch?v=JEv8uSt26bI

Worked example: Derivatives of sin(x) and cos(x) | Derivative rules | AP Calculus AB | Khan Academy

https://www.youtube.com/watch?v=Iur13MNO0Ro

Tutorial - Solving logarithmic equations ex 10, log(2x)+log(x-5)=2

https://www.youtube.com/watch?v=fzjoQXBd0uU

Unit Circle Trigonometry - Sin Cos Tan - Radians & Degrees

https://www.youtube.com/watch?v=V5ArB_GFGYQ

 Function Plot

Plotting: $\cos\left(x\right)^{\frac{5x}{\sin\left(2x\right)-\tan\left(2x\right)}}$

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1

2

3

4

5

6

7

8

9

0



a

b

c

d

f

g

m

n

u

v

w

x

y

z

.

(◻)

+

-

×

◻/◻

/

÷

◻²

◻^◻

√◻

√

^◻√◻

^◻√

∞

e

π

ln

log

log_◻

lim

d/dx

D^□_x

∫

∫^◻

|◻|

θ

=

>

<

>=

<=

sin

cos

tan

cot

sec

csc

asin

acos

atan

acot

asec

acsc

sinh

cosh

tanh

coth

sech

csch

asinh

acosh

atanh

acoth

asech

acsch

 How to improve your answer:

 Main Topic: Powers of powers

When we have a power inside another power, we can simplify multiplying the exponents: $\left(x^m\right)^n=x^{m\cdot n}$.

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