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3 years ago

12

Trigonometry problem. Please show your solution and explain it. thank you !!

1 answer:

WINSTONCH [101]3 years ago

7 0

Cute one!
<span>
</span>Summarizing:
<span>sec(acot(tan(asin(sin(pi/3)))) .... use asin(sin(x))=x
</span>=sec(acot(tan(pi/3)))
=sec(acot(sqrt(3))) ......... use acot(x)=atan(1/x)
=sec(atan(1/sqrt(3)))
=sec(atan(sqrt(3)/3)) .... evaluate atan(sqrt(3)/3), use unit circle
=sec(pi/6)
=1/cos(pi/6)...... evaluate cos(pi/6), use unit circle
=1/(sqrt(3)/2)
=2/sqrt(3) .... now rationalize
=2sqrt(3)/3

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Please explain every step

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<h3>Answer:</h3>

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<h3>Explanation:</h3>

$\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}$

<u>Identify the following's</u>:

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===========================

$\sf Geometric \ Sum \ of \ Terms = \dfrac{a(r^n - 1)}{r-1}$

===========================

Solving Steps:

<em /> $\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}$ <em />

<em />

<em /> $\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}$ <em />

<em />

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<em />

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