Question

PLEASE HELP ME FIGURE THIS OUT 1..... WITH SCREENIES

Answer 1

Answer: sin
`(2\pi)/(5)`

Explanation:

The cofunction is the complement, which means their sum equals
`(\pi)/(2)` and the function switches. sin⇄cos, tan⇄cot, csc⇄sec.

cos
`(\pi)/(10)`

`(\pi)/(2)` -
`(\pi)/(10)`

=
`(\pi)/(2)((5)/(5))` -
`(\pi)/(10)`

=
`(5\pi-\pi)/(10)`

=
`(4\pi)/(10)`

=
`(2\pi)/(5)`

**********************************************************************

csc θ = 6

csc =
`(hypotenuse)/(opposite)`

• opposite = 1
• use Pythagorean Theorem to find adjacent =
  `√(35)`
• hypotenuse = 6

1² + (adjacent)² = 6²

(adjacent)² = 35

adjacent =
`√(35)`

sin θ =
`(opposite)/(hypotenuse)` =
`(1)/(6)`

cos θ =
`(adjacent)/(hypotenuse)` =
`(√(35))/(6)`

tan θ =
`(opposite)/(adjacent)` =
`(1)/(√(35))` =
`(√(35))/(35)`

sec θ =
`(hypotenuse)/(adjacent)` =
`(6)/(√(35))` =
`(6√(35))/(35)`

cot θ =
`(adjacent)/(opposite)` =
`(√(35))/(1)` =
`√(35)`