the equation is - tan2 x + sec2 x = 1.
Left hand side identity : - tan2 x + sec2 x.
Trigonometric function : tan x = sin x / cos x,
Reciprocal identity : sec x = 1/cos x.
- tan2 x + sec2 x = - (sin x/cos x)2 + (1/cos x)2
= - sin2 x/cos2 x + 1/cos2 x
= (1 - sin2 x)/cos2 x
Pythagorean identity : sin2 x + cos2 x = 1 .
= cos2 x / cos2 x
= 1
Use a number line to help, or a tape diagram.
Answer:
The measure of angle x is 40°
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs which comprises
see the attached figure with letters to better understand the problem
so
m∠x=(1/2)[arc AB-arc AC]
<u><em>Find the measure of arc AC</em></u>
we know that
arc AB+arc BC+arc AC=360° ----> by complete circle
substitute the given values
arc AB=200°
arc BC=40°
arc AC=?
200°+40°+arc AC=360°
240°+arc AC=360°
arc AC=360°-240°=120°
<u><em>Find the measure of angle x</em></u>
m∠x=(1/2)[200°-120°]=40°
Answer: 31.98 cups
Step-by-step explanation:
- if there's 5.33 cups in 1 pie
then there is x cups in 6 pies.
set up a proportion:
5.33 cups = 1 pie
x cups = 6 pies
<em>cross multiplication.</em>
31.98 = x
therefore there are 31.98 cups of apples in 6 pies.