Question

IF
\[4\sin+4\cos=0\]
THEN FIND OTHER TRIGONOMETRIC RATIOS.

Answer 1

4 sin x + 4 cos x = 0

sin x + cos x = 0

sin x = -cos x

The values of x which makes this true are additive inverses.

Recall that sine and cosine are equal when x = 45 degrees. For these to be additive inverses, the angle x will lie in quadrants where x and y have different signs.

Answer 2

but what will be other ratios

Answer 3

cosec x
sec x
tan x
cot x

Answer 4

first, what is \(x\) such that \[sin x = -\cos x\]

once you have that value(s), evaluate the other functions \(\sin x, \cos x, \tan x, \cot x\, \sec x,\) and \(\csc x\)

Answer 5

but tan tan x is coming cos/sin which should be sin/cos