Math, asked by gurujusrinu, 10 months ago

if tanA=17/18 ,tanB=1/35 then cos(A+B)=​

Answers

Answered by jayantjagtap2004
2

Answer:

1/√2 . shingles duidgifiwjcucjwehcyycye7v

Answered by sourasghotekar123
2

Answer:

Step-by-step explanation:

  • Given: tan A=17/18, tan B= 1/35
  • To find: cos(A+B)
  • tan (A+B)= tan A+ tan B/ 1+ tan A/tan B
  • \frac{\frac{17}{18}+ \frac{1}{35}  }{1-\frac{17}{18}\times\frac{1}{35}  }
  • = 613/613
  • =1
  • tan(A+B)=1
  • sec square (A+B)=1+1
  • =2
  • cos square (A+B)=1/2
  • cos (A+B)=1/ root 2
  • \frac{1}{\sqrt{2} }
  • Hence, cos (A+B)= \frac{1}{\sqrt{2} }
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