In a right angle triangle ABC right angle at C. BC +CA= 23 cm and BC-CA= 7 . Then find sin A and tan B
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Answer:
BC+CA=23
BC-CA = 7
Adding these two equations
2BC=30
BC=15
Substituting this value in the first equation
15+CA=23
CA=8
BC^{2}BC2 +AC^{2}AC2 =AB^{2}AB2 (by pythagorus theorem)
⇒(15*15)+(8*8)=AB^{2}AB2
225+64=AB^{2}AB2
AB^{2}AB2 =289
⇒AC=17
Now,
SinA= 15/17
tanB = 8/15
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