If tan of theta = -7/24 and theta is in the second quadrant find sin theta?

Answer 1

If theta is in the 2nd quadrant, it means that the 'x' is negative and y is positive. This means that it is supposed to be (7)/(-24)

The length of the diagonal of the triangle formed is always positive, ie: sqrt( 7^2 + (-24)^2 ) = 25

Hence sin of theta
= opposite/hypoteneus
= 7/25 [positive]

Answer 2

tanta=-7/24
and heta is in the second quadrant find sin theta so the sin theta is a positive number
AND we can know the sin theta is 7/25
because 7*7+24*24=25*25

Answer 3

given tan theta = -7/24

tan theta = tan "opposite / adjacent" = tan 7 / -24(we will know that is -24 and not -7 when we draw the angle in the 2nd quandrant)

find sin theta = sin "opposite / hypotenuse"
to find hypotenuse: square root (24*24 +7*7) = 25

therefore sin theta = 7 / 25

Answer 4

tan Θ = - 7/24
Θ = tan¯ ¹ -7/24
Θ = -16∙260 204 71...°

Usually the angles are constructed with respect to the x-axis. Since the angle given is in the second quadrant, subtract it form 180°.

Sin Θ = 180° -16∙260 204 71...°
Sin Θ = 163∙739 7953....°

Answer 5

Hypotenuse = √ [7² + 24²] = √576 = 25
sin Ø = 7 / 25
(excuse the Ø but I can`t find theta!)

Answer 6

7/25