Question

I'LL BECOME A FAN OF ANYONE WHO CAN HELP WITH THESE NEXT FEW PROBLEMS:

If the sin 45° is 0.707, then the cos _____° is 0.707.

Answer 1

The sail of a boat is in the shape of a right triangle, as shown below.

The sail of a boat is a right triangle with an acute base angle equal to 50 degrees and the height of the sail is 6 meters.

Which expression shows the length, in meters, of the side adjacent to the 50 degree angle?

Answer 2

6 sin 50°

6 cot 50°

6 by sec 50 degrees

6 by cot 50 degrees

Answer 3

Well sin and cos are cofunctions

sin(x) = cos(90 - x)
cos(x) = sin(90 - x)

So if we have sin(45) that is equivalent to

sin(45) = cos(90 - 45)
sin(45) = cos(45)

Answer 4

We have an angle...the side opposite that angle...and we want the side adjacent to that angle...

what trig function uses Opposite and Adjacent?

Answer 5

Sin, Cosine and tangent? @johnweldon1993

Answer 6

Well tangent would be the function we would use here...since it uses opposite/adjacent...

but now looking at your choices...there is not tangent option..hmm

Answer 7

Sorry I'm just really confused. lol

Answer 8

On what part?

Answer 9

Everything. Im in a hurry but i'm not understanding how the blank is going to be filled in with the cos is 0.707

Answer 10

it would be 45 like I put above

Answer 11

oh okay.. lol sorry this just confuses me. what about the second one?

Answer 12

The sail of a boat is in the shape of a right triangle, as shown below.

The sail of a boat is a right triangle with an acute base angle equal to 50 degrees and the height of the sail is 6 meters.

Which expression shows the length, in meters, of the side adjacent to the 50 degree angle?