Question

If 5 sin theta = 3. Find sec theta+tan theta/sec theta - tan theta

Answer 1

\[\sin(\theta)=\frac{3}{5}\] so you have a right triangle with opposite side 3, adjacent side 4 and hypotenuse 5

Answer 2

draw the triangle and you can find all other trig funcitons

Answer 3

thanx! :D

Answer 4

if you get stuck on any let me know

Answer 5

can you solve and show if you dont mind?

Answer 6

\[\sin \theta = 3/5 =opposite/hypotenuse\]

Answer 7

use pythagoras theorem to find the third side

Answer 8

ok so your hypotenuse is 5, opposite is 3 adjacent is 4
here are all of them right from the triangle

Answer 9

\[\sin(\theta)=\frac{3}{5}\]

\[\cos(\theta)=\frac{4}{5}\]
\[\tan(\theta)=\frac{3}{4}\]

Answer 10

now for the reciprocals
\[\csc(\theta)=\frac{5}{3}\]
\[\sec(\theta)=\frac{5}{4}\]
\[\cot(\theta)=\frac{4}{3}\]

Answer 11

notice how odd this is because you are asked to evaluate a function without actually knowing what the input is. you rely on the ratio of the triangle to get it, once you have memorized that whole "opposite over hypotenuse" business