Tan Theta = -8/15, Pi/2<Theta<pi

sorry, i dont know how to put the symbols for Pi and Theta in :P

Robey1Kanobi
Jan 13, 2015

#2**+10 **

Tan Theta = -8/15, Pi/2<Theta<pi

First this is the second quad so

sin and cosec are positive and the rest will be negative.

Now you don't need to worry about again until the end.

Finsd the length of the hypotenuse using pythagoras's theorum

then read the ratios straight of the triangle and assign the appropriate signs.

Melody
Jan 14, 2015

#1**+10 **### Sine, cosine and tangent

### Reciprocal functions

Since we have a second quadrant angle, we have that a = 8 and b = -15 so h = √[(-8)^2 + (15)^2 ] = √(64 + 225) = √289) = 17

Here is a review of the 6 basic trig functions.....it should help....

The **sine** of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. (The word comes from the Latin *sinus* for gulf or bay,^{[1]} since, given a unit circle, it is the side of the triangle on which the angle *opens*.) In our case

This ratio does not depend on the size of the particular right triangle chosen, as long as it contains the angle *A*, since all such triangles are similar.

The **cosine** of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse: so called because it is the sine of the complementary or co-angle.^{[2]} In our case

The **tangent** of an angle is the ratio of the length of the opposite side to the length of the adjacent side: so called because it can be represented as a line segment tangent to the circle, that is the line that touches the circle, from Latin *linea tangens* or touching line (cf. *tangere*, to touch).^{[3]} In our case

The acronyms "SOHCAHTOA" ("Soak-a-toe", "Sock-a-toa", "So-kah-toa") and "OHSAHCOAT" are commonly used mnemonics for these ratios.

The remaining three functions are best defined using the above three functions.

The **cosecant** csc(*A*), or cosec(*A*), is the reciprocal of sin(*A*); i.e. the ratio of the length of the hypotenuse to the length of the opposite side:

The **secant** sec(*A*) is the reciprocal of cos(*A*); i.e. the ratio of the length of the hypotenuse to the length of the adjacent side:

It is so called because it represents the line that *cuts* the circle (from Latin: *secare*, to cut).^{[4]}

The **cotangent** cot(*A*) is the reciprocal of tan(*A*); i.e. the ratio of the length of the adjacent side to the length of the opposite side:

CPhill
Jan 13, 2015

#2**+10 **

Best Answer

Tan Theta = -8/15, Pi/2<Theta<pi

First this is the second quad so

sin and cosec are positive and the rest will be negative.

Now you don't need to worry about again until the end.

Finsd the length of the hypotenuse using pythagoras's theorum

then read the ratios straight of the triangle and assign the appropriate signs.

Melody
Jan 14, 2015