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If secA= x+1/4x, prove that secA+tanA=2x or 1/2x.
Ans: Sec? = x + 1/4x
⇒ Sec2? =( x + 1/4x)2 (Sec2?= 1 + Tan2?)
Tan2? = ( x + 1/4x)2-1
Tan2? = ( x - 1/4x)2
Tan? = + x - 1/4x
Sec? + Tan? = x + 1/4x + x-1/4x
=2x or 1/2x
1/a+b+x =1/a+1/b+1/x a+b ≠ 0 Ans: 1/a+b+x =1/a+1/b+1/x => 1/a+b+x -1/x = +1/a +1/b ⇒ x - ( a + b + x )/ x ( a + b + x ) = + a + b/ ab ⇒
Total Contribution per Year for next 10yeras =$1000+$800 =$1800 So Total Future fund Vaule =$1800*(1+1.073+power(1.073,2)+ power(1.073,2)+ power(1.073,3)+ power(1.073,4)+ power
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