Abc is a right triangle right angled at b.if bc=8cm,ac=17cm then 15seca+8cota is
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Answer:
bc=8cm,ac=17cm
sec a=hypotenuse/base
cot a=base/perpendicular
ac equals to hypotenuse
bc equals to base
ab equals to perpendicular
(ac)^2=(bc)^2+(ab)^2
(17)^2=(8)^2+(ab)^2
289-64=225=(ab)^2
ab=15cm
then,15sec a=15×17/8=255/8=31.875.........{1}
and,8cot a=8×8/15=64/15=4.266...............{2}
combining both equation first and second we get,
31.875+4.266=36.141
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