Question

If tan 35 =a, find the value of tan145-tan125/1+tan145tan125 in terms of a

Answer 1

tan 35 =a
then ,tan145=tan(180-35)=-tan35=-aand tan125=tan(90+35)=-cot35=-1/a then put the values in equation
tan145-tan125/1+tan145tan125
-a+1/a/1+(-a)(-1/a)
-a^2+1/a/1+1
-a^2+1/2a= this is the answer
hope this is helpful for you

Answer 2

Answer:

-a²+1/2a

Step-by-step explanation:

tan 35 = a

tan145 = tan(180-35)=-tan35= -a

tan125=tan(90+35)=-cot35=-1/a

=-a +1/a * a/1+(-a) (-1)

=-a²+1/a*1/2

= -a²+1/2a

hope this may help you