Answer:
Step-by-step explanation:
Area of the figure = area of the down triangle + area of trapezium + area of the upper triangle
Down triangle:
Base b = 8 in
Height = 6 in

= 24 in²
Trapezium:
bases a = 4 in & b = 6 in
Height h = 5 in

= 25 in²
Area of the upper triangle:
Base b = 6 in
Height = (8 - 5) = 3 in

= 9 in²
Area of the figure = 24 + 25 + 9 = 58 in²
Given data
<span>sin (x+pi/2)=cos x
</span>now using sin law
sin(a+b)=sin(a)cos(b)+cos(a)sin(b)
now using above values
sin(pi/2+x)=sin(pi/2)cos(x)+cos(pi/2)sin(x)
as we know that
sin(pi/2)=1
cos(pi/2)=0
now putting these values
sin(pi/2+x)=1*cosx+0*1
sin(pi/2+x)=cosx
hence proved that
<span>sin (x+pi/2)=cos x</span>
Answer:
(2,3) and (7,10)
Step-by-step explanation:
Use the slope 5/7 to get to a new point by moving up 5 units and moving to the right 7 units.
Step-by-step explanation:
sec x − cos x
Secant is the inverse of cosine:
(1 / cos x) − cos x
Find the common denominator:
(1 / cos x) − (cos² x / cos x)
Subtract:
(1 − cos² x) / cos x