RTP: [a tan(u) + b]² + [b tan(u) - a]² = (a² + b²) sec²(u)
Proving LHS = RHS:
LHS = [a tan(u) + b]² + [b tan(u) - a]²
= a² tan²(u) + 2ab tan(u) + b² + b² tan²(u) - 2ab tan(u) + a²
= (a² + b²) tan²(u) + (a² + b²)
= (a² + b²)[tan²(u) + 1]
= (a² + b²) sec²(u), using the identity: tan²(x) + 1 = sec²(x)
= RHS
Answer:
111 grams
Step-by-step explanation:
Total mass: 185 g
The ratio of the mass of fruit to yoghurt is 2 : 3
185/5 = 37 g
37 x 3 = 111 g
A
the word 'of' means to multiply
0.45 × 80 = 36
Answer:
x and y are both equal to 57.5°
Step-by-step explanation:
180° - 65° = 115°
115 ÷ 2 = 57.5
The answer to this is letter C: <em>This equation is an example of converting by using proportion.</em> The proportion used here is the measurement of something in inches to the measurement of something in ft. The ratio would always be constant, hence, the equality sign.
