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Which statement can you conclude from the information given? Given: (In right...
Which statement can you conclude from the information given?
Given: (In right triangle) sinA=a/c, sin B = b/c, m<A + m<B = 90 degrees,
cos A= b/c, cos B = a/c, a^2+b^2=c^2, tan A = a/b, tan B b/a
(A) sin A = cos B
(B) cos A = sin (90-A)
(C) sin^2 B + cos^2 B = 1
(D) All of these
Thank you for your help.
1 Answer | add yours
Given: In a right triangle ABC (refer to the attached image) `sinA=a/c` , `sin B = b/c` , `mltA + mltB = 90` degrees,
`cos A= b/c` , `cos B = a/c` , `a^2+b^2=c^2` , `tan A=a/b` , `tan B=b/a`
(A) `sin A=(BC)/(BA)=a/c` and `cos B=(BC)/(BA)=a/c`
Hence, `sin A = cos B.`
(B) `cos A =b/c `
`rArr sin(90-A)=b/c` ............(since `mltA + mltB = 90` degrees )
Hence, `cos A = sin (90-A)`
(C) `sin^2 B + cos^2 B `
`=c^2/c^2` ....................(since `a^2+b^2=c^2` )
Therefore, option D) All of these, is the best conclusion.
Posted by llltkl on September 4, 2013 at 1:32 AM (Answer #1)
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