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3 years ago

Simplify the expression,cos x cotx + sinx

Mathematics

2 answers:

olya-2409 [2.1K]3 years ago

8 0

Answer:

cosec x

Step-by-step explanation:

$\cos x \: \cot x + \sin x \\ \\ = \cos x \times \frac{\cos x }{ \sin x } + \sin x \\ \\ = \frac{\cos^{2} x +\sin^{2} x }{ \sin x } \\ \\ = \frac{1}{ \sin x } \\ \\ = cosec x \\ \\ \red{ \boxed{ \bold{\therefore \: \cos x \: \cot x + \sin x = cosec \: x}}}$

blondinia [14]3 years ago

3 0

Answer:

csc x in edge

Step-by-step explanation:

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<h2>Perfect Squares</h2>

Perfect square formula/rules:

$a^2+2ab+b^2=(a+b)^2$
$a^2-2ab+b^2=(a-b)^2$

Trinomials are often organized like $ax^2+bx+c$ .

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Perfect square trinomial: $ax^2+bx+(\dfrac{b}{2})^2$
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We're given:

$c^2-4c$

In a trinomial, we're given the $ax^2$ and $bx$ values. <em>a</em> in this case is 1 and <em>b</em> in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient: