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olya-2409 [2.1K]
3 years ago
10

Help for this question pls :)

Mathematics
2 answers:
Lyrx [107]3 years ago
4 0

Step-by-step explanation:

tan(A/2)

tan(A/2)=sinA/1+cos A

tan(A/2)= 5/13÷1+12/13

tanA/2=1/5

soldi70 [24.7K]3 years ago
3 0

Answer:

tan(\frac{A}{2} ) = ± \frac{1}{5}

Step-by-step explanation:

Using the trigonometric identity

tan (\frac{A}{2} ) = ± \sqrt{\frac{1-cosA}{1+cosA} }

Given

tanA = \frac{5}{12} = \frac{opposite}{adjacent}

This is a right triangle 5- 12- 13 ( with hypotenuse 13 ), then

cosA = \frac{adjacent}{hypotenuse} = \frac{12}{13} , then

tan (\frac{A}{2} )

= ± \sqrt{\frac{1-\frac{12}{13} }{1+\frac{12}{13} } }

= ± \sqrt{\frac{\frac{1}{13} }{\frac{25}{13} } }

= ± \sqrt{\frac{1}{25} }

= ± \frac{1}{5}

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