Question

if 15 tan thita =8.Find the value of cos thita & cosec thita​

Answer 1

Answer:

cosθ=15/17

cosecθ=17/8

Step-by-step explanation:

15tanθ=8

tanθ=8/15

tanθ= opposite/adjacent

so opposite value is 8 and adjacent value is 15 in right angle triangle

so the hypotenuse of triangle=

$\sqrt{ {8}^{2} + {15}^{2} } \\ = \sqrt{64 + 225} \\ = \sqrt{289} \\ = 17$

so cosθ= adjacent/hypotenuse

cosθ=15/17

cosecθ= hypotenuse/opposite

cosecθ=17/8