Question

Can someone please explain to me? Trigonometry
http://i59.tinypic.com/2v3oc42.jpg

Answer 1

#11 or #14 please

Answer 2

@ramit.dour @neoh147

Answer 3

u want value of x ?

Answer 4

The question is asking to proof that the left side is equal to the right side of the equation.

Answer 5

okay

Answer 6

Thank you @ramit.dour

Answer 7

wait , doing it

Answer 8

Ok! c:

Answer 9

always use most complex side to prove...

Answer 10

as

Answer 11

(1+sec x)/(sin x+ tan x)=csc x
LHS
=(1+(1/cos x))/(sin x+sin x/cos x)
=(1+(1/cos x))/sin x(1+1/cos x)
=1/sin x
= csc x
=RHS Prove

Answer 12

Thank you so much @neoh147

Answer 13

welcome @study100

Answer 14

tan x / (tan x + sin x) = (1- cosx) /sin^2 x

LHS
=tan x / (tan x + sin x)
=tan x / (tan x + cos x tan x) sin x = cos x tan x
=tan x / (tan x)(1+cos x)
=1/ (1+cos x)
times both numerator and denominator with conjugate of 1+ cos x
= (1- cos x)/ 1- cos^2 x
= (1- cos x)/ sin^2 x 1 = sin^2 x + cos^2 x