The trigonometric ratios sine and secant are reciprocals of each other true or false?

That's FALSE.

It's sine and cosecant that are reciprocals, as are cosine and secant, as well as tangent and cotangent.

The "co" or complementary functions are their corresponding non-complementary function applied to the complementary angle: cos(x) = sin(90-x), that kind of thing.

The non-co functions sine, secant and tangent all increase with increasing angle in the first quadrant. The co functions all decrease.

Since when sine increases its reciprocal decreases, its reciprocal must be one of the co functions, and of course it's cosecant.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

the answer will be