Trigonometry Solutions

(7sin(0.5t-π/2)=)/7 5/7 Find the answer to this by solving 7 sin (0.5𝑡 − ) = 5 in the domain 0 < 𝑡 < 3𝜋. 2 You can write your final answer in terms of 𝜋 or round it to 3 decimal places.

Answer: Two solutions: $t \approx 4.692$ and $t \approx 7.874$ (roun

Aug 8, 2026

Water is flowing ℎ m deep in a pipe of radius 0.15 m, as shown here: Choose your own value of ℎ, between 0.18 m and 0.25 m. Use this to find: The angle 𝜃 in radians. Round your final answer to 2 decimal places. h=0.22 r=0.15 ϴ= in radians to two decimal place First I need to find the part of h that is adjacent to ϴ If h= 0.22m and the radius is 0.15m the the diameter is 0.30 0.30m-0.22m=0.08m The vertical side adjacent to theta makes a right angle of 90 degrees. The hypotenuse is 0.15m and the adjacent side is 0.08m. We have two sides of a right-angled triangle, so I can use the inverse cosine rule to get the theta angle in radians ■(Cos(θ)=adjacent/hypotenuse@Cos(θ)=(0.08/0.15) ) ■(cos^(-1) θ=(0.08/0.15)@cos^(-1) θ=1.01radians) marks) The cross-sectional area inside the pipe above the water. Round your final answer to 2 decimal places.

Answer: θ ≈ 1.01 radians; Cross-sectional area above water ≈ 0.02 m²

Aug 7, 2026