Question

expand √x^2/y^2 simplest form 4log sin theta + 4 log cos theta​

Answer 1

Before we simplify the given problems, let us know some formulae:

• √(a²) = a
• log(a) + log(b) = log(ab)
• a log(b) = log(bᵃ)

Now we solve the given problem:

1. Now, $\sqrt{\frac{x^{2}}{y^{2}}}$

$\quad=\sqrt{\big(\frac{x}{y}\big)^{2}}$

$\quad=\bold{\frac{x}{y}},\:since\:\sqrt{a^{2}}=a$

This is the required simplification.

2. Now, 4 log (sinθ) + 4 log (cosθ)

$\quad$ = 4 {log (sinθ) + log (cosθ)}

$\quad$ = 4 {log (sinθ cosθ)}

$\quad$ = log (sinθ cosθ)⁴

This is the required simplification.

Answer 2

Step-by-step explanation:

hey mate......

Before we simplify the given problems, let us know some formulae:

√(a²) = a

log(a) + log(b) = log(ab)

a log(b) = log(bᵃ)

Now we solve the given problem:

1. Now,

This is the required simplification.

2. Now, 4 log (sinθ) + 4 log (cosθ)

= 4 {log (sinθ) + log (cosθ)}

= 4 {log (sinθ cosθ)}

= log (sinθ cosθ)⁴

hope it's help

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