Question

how to find the angle?
tan x + 4tan x = 4sec x

Answer 1

Are any options given? Because I'm not sure of my answer.

Answer 2

the answer is 41.81 and 138.19 in degree form

Answer 3

secx=5/3?

Answer 4

tanx=4/3?

Answer 5

so the triangle is a right triangle with sides 3,4,5

Answer 6

how did u get 5/3 and 4/3?

Answer 7

Sin = Opposite/hypotenuse
cos= adjacent/hypotenuse
tan = oppoite/adjacent

Answer 8

With this when you simplify the expression you will get sinx=4/5, which is opposite/hypotenuse.
So, by pythagoras theorem, the remaining side is 3

Answer 9

umm.see simplify the given equation we get
5tanx=4secx
tanx/secx=4/5
squaring on both sides
tan^2x/sec^2x=16/25
we know that acc. to trig identity
tan^2x=sec^2x-1
so,
(sec^2x-1)/sec^2x=16/25
25sec^2x-25=16sec^2x
9sec^2x=25
root on both sides
secx=5/3
substitute this in first equation to get tanx=4/3

Answer 10

yup even abdul's method is rite!

Answer 11

and yeah its easier!but i thought that in a exam,my teacher doesn't giv me marks if i dont use identities so teahcers might cut marks so i told u this method!but abdul's way is easier!

Answer 12

this is the first tyme i saw the method...thanks..

Answer 13

There are many ways in doing maths, we need to get the solution, the easier the better.
That shouldn't affect the marks.