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TRINA DAS

· started a discussion

· 1 Months ago

Explain (Question:251273.0)

How does the second line of the detailed solution come from the first line?

Question:

$t a n 80 º$ is equal to

Options:

A)

$t a n 70 º + t a n 10 º$

B)

$2 t a n 70 º + t a n 10 º$

C)

$t a n 70 º + 2 t a n 10 º$

D)

$2 t a n 70 º + 2 t a n 10 º$

Solution:

$90 º = 80 º + 10 º$

So, $t a n 80 º t a n 10 º = 1$

$t a n 80 º = \frac{1}{t a n 10 º}$

$90 º = 70 º + 20 º$

$t a n 70 º t a n 20 º = 1$

$t a n 70 º = \frac{1}{t a n 20 º}$

$t a n 70 º = \frac{1 - t a n^{2} 10 º}{2 t a n 10}$

$2 t a n 70 º = \frac{1 - t a n^{2} 10 º}{t a n 10 º}$

$2 t a n 70 º = \frac{1}{t a n 10 º} - t a n 10 º$

$2 t a n 70 º + t a n 10 º = \frac{1}{t a n 10 º}$

$2 t a n 70 º + t a n 10 º = t a n 80 º$

ambarish gupta

· commented

· 1 Months ago

everything seems to be clear bro..admin is right here

mohit

· commented

· 1 Months ago

God only knows Trina..

Aman Sharma

· commented

· 1 Months ago

tan80.tan10=1, ....tan10=cot80...cot(90-10)=tan10......
tan@.Cot@=1 ...formula

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