Question

If tan x is equal to 3/4 find the value of sin x + cos x/ cos x (1 - cos x) ​

Answer 1

Answer:

35/4 =8¾

Step-by-step explanation:

using pythagoras theorem

hyp²=opp²+adj²

recall that tanX= opp/adj

taking our opposite side to be 3 and the adjacent side to be 4 , the hyp² = 3²+4²

hypotenuse = 5

recall also that , sinX = opposite /hypotenuse

= 3/5

CosX= adjacent /hypotenuse

=4/5

so we've known tanx = 3/4 cosX = 4/5 sinx= 3/5

substitute these values into your equation

it will give us 3/5 + 4/5 divided by 4/5 ×(1-4/5)

=35/4 = 8¾