Question

Help plsssss!!!! i dont get it

Answer 1

sin2θ =
`(1320)/(3721)`

Explanation:

Given

sinθ =
`(11)/(61)` =
`(opposite)/(hypotenuse)`

This is a right triangle with legs 11 and x ( adjacent ) and hypotenuse 61

Using Pythagoras' identity in the right triangle to find x

x² + 11² = 61²

x² + 121 = 3721 ( subtract 121 from both sides )

x² = 3600 ( take the square root of both sides )

x =
`√(3600)` = 60

Then cosθ =
`(adjacent)/(hypotenuse)` =
`(60)/(61)`

Using the identity

sin2θ = 2sinθcosθ , then

sin2θ = 2 ×
`(11)/(61)` ×
`(60)/(61)` =
`(1320)/(3721)`