Answer:
Step-by-step explanation:
Required to prove that:
Sin θ(Sec θ + Cosec θ)= tan θ+1
Steps:
Recall sec θ= 1/cos θ and cosec θ=1/sin θ
Substitution into the Left Hand Side gives:
Sin θ(Sec θ + Cosec θ)
= Sin θ(1/cos θ + 1/sinθ )
Expanding the Brackets
=sinθ/cos θ + sinθ/sinθ
=tanθ+1 which is the Right Hand Side as required.
Note that from trigonometry sinθ/cosθ = tan θ
Answer:
im doing the same thing need help too
Step-by-step explanation:
Answer:
452.4 ft²
Step-by-step explanation:
The radius on the blueprint is (18 cm)/2 = 9 cm, so the actual radius will be ...
radius/(9 cm) = (4 ft)/(3 cm)
radius = (9 cm)(4 ft)/(3 cm) = 12 ft
Then the area of the fountain is ...
A = πr² = π(12 ft)² = 144π ft²
The area is about 452.4 ft².
