C is correct.
Reasoning: If the top number (numerator) is smaller that the bottom number (denominator), it means it’s smaller than 1. If, on the other hand, the numerator is bigger than the denominator, it means it’s more than 1. If youre ever unsure, devide the numerator by the denominator. This will turn the number into a decimal, and be easier to see. 8/9 = 0.88 repeated, and 3/7 = 0.4285. Therefore 8/9 is larger than 3/7. This can also be written as 8/9 > 3/7.
Good luck!
Answer:
B
Step-by-step explanation:
The central angle is twice the angle on the circumference, subtended on the same arc, then
a = 0.5 × 110° = 55° → B
Answer:
option b)
tan²θ + 1 = sec²θ
Step-by-step explanation:
The Pythagorean trigonometric identity is a trigonometric identity expressing the Pythagorean theorem in terms of trigonometric functions.
hypotenuse² = height² + base²
Given in the questions are some pythagorus identities which except of b) are all incorrect as explained below.
<h3>1)</h3>
sin²θ + 1 = cos²θ incorrect
<h3>sin²θ + cos²θ = 1 correct</h3><h3 /><h3>2)</h3>
by dividing first identity by cos²θ
sin²θ/cos²θ + cos²θ/cos²θ = 1/cos²θ
<h3>tan²θ + 1 = sec²θ correct</h3><h3 /><h3>3)</h3>
1 - cot²θ = cosec²θ incorrect
by dividing first identity by sin²θ
sin²θ/sin²θ + cos²θ/sin²θ = 1/sin²θ
<h3>1 + cot²θ = cosec²θ correct</h3><h3 /><h3>4)</h3>
1 - cos²θ = tan²θ
not such pythagorus identity exists
- Evaluate [5 - (5 - 5(2 - 5) + 2)] + 6
![\sf [5 - (5 - 5(2 - 5) + 2)] + 6](https://tex.z-dn.net/?f=%20%20%5Csf%20%5B5%20-%20%285%20-%205%282%20-%205%29%20%2B%202%29%5D%20%2B%206)
Subtract 5 from 2 to get -3.
Multiply 5 and -3 to get -15.
The opposite of -15 is 15.
Add 5 and 15 to get 20.
Add 20 and 2 to get 22.
Subtract 22 from 5 to get -17.
Add -17 and 6 to get -11.
