Answer:
cot . (x- π/2)= - tanx
Step-by-step explanation:
cot . (x- π/2)= - tanx
cot .x - cot π/2= - tanx
cot π/2= 1/tanπ/2
But tan π/2= ∞
cot π/2 = 1/∞= 0
cotx - 0= - tanx
cot x = - tanx
cosx/sinx= - sinx/cosx Putting values of cot and tan
cosx/ sinx ( sinx/cos x) = -sinx/cos x (sinx/cos x )
Multiplying both sides with sinx/cos x
1= - sin²x/cos²x
cos²x= - sin²x as cosx = -sinx
We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.
We replaced in : (24-2) x 180 = 3960
So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.
Find the discount price and subtract from the total to find the sale price.
To find the discount price, multiply 90 b 40% (convert 40% into decimal)
90 x 0.4 = 36
Next, subtract the discount from the total to find the sale price.
90 - 36 = 54
So, the sale price is <u>$54</u>.
Answer:
332°
Step-by-step explanation:
Given is an isosceles triangle,
Measures of base angles of an isosceles triangle are equal.
Therefore,
Measure of central angle
= 180° - ( 76° + 76°)
= 180° - 152°
= 28°
Measure of shaded angle
= 360° - 28°
= 332°
Answer:
Yes
Step-by-step explanation: