Question

If tan theta 15/8 find the values of all T-ratios of theta.​

Answer 1

Answer:

We know that,

tane = Opposite side to theta / Adjacent

side to theta

tane = 15/8

Adjacent side = 8 Opposite side = 15

By Pythagoras theorem, (Hypotenuse )² = (Adjacent side) (Opposite side)² 2+

Hypotenuse =√ ( 8² + 15² ) = √ 64 +225 =

√289 = 17

Now, Trigonometry ratios :

cose = Adjacent side to theta / Hypotenuse = 8/17

sine = Opposite side of theta / Hypotenuse = 15/17

cote = 1/tan0 = 1/(15/8)= 8/15

sece = 1/cose=1/(8/17) = 17/8 csc = 1/sin0 = 1/(15/17) = 17/15

.. The trigonometric ratios, cos0 = 8/17, sin0 = 15/17, cot0 = 8/15, sec0 = 17/8, cosece = 17/15