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eduard
3 years ago
7

Use basic identities to simplify the expression.1 / cot^2 theta + sec theta cos theta​

Mathematics
1 answer:
melomori [17]3 years ago
7 0

Answer:

(1 / cot²θ) + secθ cosθ  

(1 / cotθ) == tanθ

Therefore

tan²θ + secθ cosθ

secθ == (1 / cos θ)

Therefore

tan²θ + (1 / cosθ) cosθ

The cosθ 's cancel out

Therefore

tan²θ + 1

tan²θ + 1 == sec²θ

Therefore

sec²θ is the simplified answer

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butalik [34]

ANSWER

10C_5(2)^{5}( - 3)^5

EXPLANATION

The given binomial expansion is:

{(2x - 3y)}^{10}

Compare this to

{(a + b)}^{n}

we have a=2x , b=-3y and n=10

We want to find the coefficient of the term

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This implies that, r=5.

The terms in the expansion can be obtained using

T_{r+1}=nC_ra^{n-r}b^r

We substitute the given values to obtain;

T_{5+1}=10C_5(2x)^{10-5}(  - 3y)^5

T_{6}=10C_5(2x)^{5}(3y)^5

T_{6}=10C_5(2)^{5}( - 3)^5 {x}^{5}  {y}^{5}

Hence the coefficient is;

10C_5(2)^{5}( - 3)^5

5 0
3 years ago
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madam [21]

Answer:

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Then we can create the following equations:

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4 Y = 80

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$97.23 - $29.74 = $67.49
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Taylor's new balance is $185.57.
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3 years ago
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mezya [45]

Step-by-step explanation:

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3 years ago
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