Answer:
11/4
Step-by-step explanation:
3/2 can be re-written as 6/4. they now have the same denominator. 6/4 + 5/4 = 11/4
We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.
Area of the rectangle : Length x Width
⇒ Area of the rectangle = 15 x 8 = 120 in²
Area of the triangle : 1/2 x Base x Height
⇒ Area of the triangle = 1/2 x 15 x 6 = 45 in²
Area of the home plate = Area of rectangle + Area of triangle
⇒ Area of the home plate = 120 in² + 45 in² = 165 in²
<u>Answer</u> : D
Answer:
Here,
(cosθ + sinθ/sinθ) – (cosθ – sinθ/cosθ) = secθ cscθ
Now, Cross Multiplication
(cosθ + sinθ/sinθ) – (cosθ – sinθ/cosθ) = secθ cscθ
cosθ(cosθ + sinθ) – sinθ(cosθ – sinθ)/sinθ cosθ
cos²θ + sinθ cosθ – sinθ cosθ + sin²θ/sinθ cosθ
cos²θ + sin²θ/sinθ cosθ
Here, we know the identity
cos²θ + sin²θ = 1
So,
cos²θ + sin²θ/sinθ cosθ can be written as
1/sinθ cosθ
Here, we also know the identity
1/sinθ = cscθ
1/cosθ = secθ
1/sinθ cosθ can be written as
secθ cscθ
= L.H.S
Hence Proved!!
<u>-TheUnknownScientist</u><u> 72</u>
