Math, asked by vanisha01, 11 months ago

question no. 2,3,4
please answer fast
tysm who r answering​

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Answered by Anonymous
1

Answer:

(2)

AC=

 \sqrt{17 {}^{2} - 8 {}^{2}  } \\  =  \sqrt{25 \times 9}   \\  = 15 \\

cosB=8/17

tan C=8/15

sin {}^{2} b + cos {}^{2} b =  ( \frac{8}{17} ) {}^{2}  + ( \frac{15}{17} ) {}^{2}  \\  =  \frac{64 + 225}{17 {}^{2} }   \\  =  \frac{289}{17 \times 17}  \\  = 1 \\

sinB cosC+cosB sinC

=(15/17)*(15/17)+(8/17)(8/17)

=289/289=1

(3)

AC=

3 +  \sqrt{12 {}^{2}  - 4 {}^{2} }  = 3 +  \sqrt{144 - 16}  \\  = 3 +  \sqrt{128}   = 3 + 8 \sqrt{2}

AB=

 \sqrt{4 {}^{2}  + 3 {}^{2} }  \\  = 5

cosA=3/5

cosecA=4/5

tan {}^{2} a - sec {}^{2}a

=(4/3)^2. - (5/3)^2

=(16/9) - (25/9)

=-1

sinC=5/(3+8√2)

secC=(3+8√2)/12

cot^2 C- cosec^2 C=(12/5)^2. - {(3+8√2)/5}^2

={144-128-9-48√2}/25

=(7-48√2)/25

Answered by Anonymous
4

Answer:

see the attachment

hope it helps ☺️

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