33 is composite
49 is composite
21 is composite
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
Assuming the fish pond is round, what you're given is the circumference.
So you know that 2<span>πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
2r = 27/</span><span>π
2r = 8.59 yards, or ~9 yards.</span>
A supplmentary angle = 180°
∠BDE and ∠BDF are vertical angles, and so are congruent.
∠BDF = 125°, because ∠BDF ≅ ∠BDE.
∠CDA ≅ ∠EDF
∠CDA = 90°
<span>line BJ </span> is angle bisector of ∠CDA. ∠CDB is 1/2 of ∠CDA
∠CDA = 90°
∠CDB = 90/2
∠CDB = 45°
∠GDF is a vertical angle of ∠CDB, and it's measurement will be the same as ∠CDB.
∠GDF ≅ ∠CDB
∠CDB = 45°
∠GDF = 45°
∠GDF = 45° should be your answer
hope this helps
