Find the value of x and y
1 answer:
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Answer:
see explanation
Step-by-step explanation:
Using the sum/ difference → product formula
cos x - cos y = - 2sin( )sin (
)
sin x - sin y = 2cos ( )sin (
)
Given
(cosA - cosB)² + (sinA - sinB )²
= [ - 2sin()sin(
) ]² + [ 2cos(
)sin(
) ]²
= 4sin² ( )sin² (
) + 4cos² (
)sin² (
)
= 4sin² ( )[ sin² (
) + cos² (
) ← sin²x + cos²x = 1
= 4sin² ( ) × 1
= 4sin² ( ) = right side ⇒ proven
Answer:
1. 30
2. 150
Step-by-step explanation:
Lets assume tan(x) = u
Now we solve for 'u'
add 1 on both sides
, divide both sides by 3
Take square root on both sides
We replace tan(x) for 'u'
x = 30 because in first quadrant
x = 30 (tan is positive in first quadrant)
x = 150 because in second quadrant
tan is negative in second quadrant