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CBSE Class 12-science Answered

If in a triangle ABC , the side c and the angle c remain constant while the remaining elements are changed slightly , show that da/cosA + db/cosB = 0 Explain in great detail
Asked by haroonrashidgkp | 22 Sep, 2018, 03:39: PM
answered-by-expert Expert Answer
begin mathsize 16px style Using space sine space rule
straight a over sinA equals straight b over sinB equals straight c over sinC equals straight k
straight a equals ksinA comma space straight b equals ksinB comma space straight c equals ksinC
da equals kcosAda comma space db equals kcosBdb
LHS space equals space da over cosA plus db over cosB
equals straight k left parenthesis da plus db right parenthesis
equals kd left parenthesis straight A plus straight B right parenthesis
equals da over cosA plus db over cosB
equals kd left parenthesis straight pi minus straight C right parenthesis
equals 0 end style
Answered by Sneha shidid | 24 Sep, 2018, 01:12: PM
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