Question not well presented and diagram is missing
Quadrilateral WILD is inscribed in circle O.
WI is a diameter of circle O.
What is the measure of angle D?
See attached for diagram
Answer:
Step-by-step explanation:
Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.
Given
<WIL = 45°
<ILD = 109°
In the attached;
<WIL + <WDL = 180° (Opposite angle of quadrilateral)
Substitute 45° for <WIL in the above expression
45° + <WDL = 180° ---- Collect like terms
<WDL = 180° - 45°
<WDL = 135°
Hence, the measure of angle D is 135° (See attached)
Answer:
sin/4 * sin
/6 = 1/2 *(cos
/12 - cos 5
/12)
Step-by-step explanation:
Formula:- sinX sinY = (1/2) [ cos (X - Y) - cos (X + Y) ]
sin(π/4)sin(π/6)
= (1/2)[cos(π/4 - π/6) - cos(π/4 + π/6)]
= (1/2)[cos(3π/12 - 2π/12) - cos(3π/12 + 2π/12)]
= (1/2)[cos(π/12) - cos(5π/12)]