It can be defined by the equation.
Since 5² =25 and (-5)²=25, what are the values for the square root of 5.
1 answer:
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Step-by-step explanation:
Rewrite csc(x) in terms of sin
Multiply the numerator. Notice that the factors in the numerator are reciprocal so they will factor out to 1.
Notice that cotangent and tan are reciprocal so
Answer:
see explanation
Step-by-step explanation:
(3)
Given cosΘ = -
Then by Pythagoras' theorem the third side is 3 ( 3,4, 5 triangle )
Since Θ in second quadrant then sinΘ > 0
sinΘ =
Using the trigonometric identity
sin2Θ = 2sinΘcosΘ, then
sin2Θ = 2 × × -
= -
(4)
Using the trigonometric identity
cos(x - y) = cosxcosy + sinxsiny
note cos15° = cos(45 - 30)°
cos(45 - 30) = cos45cos30 + sin45sin30
= ( ×
) + (
×
)
=