Type the correct answer in each box. If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = ? and csc 105º = ?

Step-by-step explanation:

We are given that:

And we want to find:

Part A)

Remember that cosine (and secant) is an even function. By definition, this means that:

Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:

Part B)

Remember that cosecant (and sine) is an odd function. By definition, this means that:

We know that csc(-105°) is about -1.03.

By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).

Hence, it follows that:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.