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
The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:

x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
Answer:
£2088
or
US$ 2,536.48 dollars (2021)
Step-by-step explanation:
4% of 1800 = 72
72 x 4 = 288
1800 + 288 = 2088
He has £2088 at the bank after 4 year
• 4w -6 = -2
+6 +6
4w= 4
— —
4 4
w=1
• 4w - 6 = 2
+6 +6
4w =8
— —
4 4
w=2
S=49p+7*9p=(49+63)p=112P
answer is B