It should be D
Explanation:
“Four-tenths (0.4) plus thirty-four hundredths (0.34).”
0.4
0.34
——-
0.74
Hope this helps! :D
So remember the acronym "SOH CAH TOA"
- Sin = Opposite/Hypotenuse
- Cos = Adjacent/Hypotenuse
- Tan = Opposite/Adjacent
- Opposite = Side that doesn't touch the angle
- Adjacent = Side that touches the angle
- Hypotenuse = Side that is across from the right angle
<h3>A.</h3>
So we see that side a doesn't touch angle 
, hence making it the opposite side. And we see that side b is across from the right angle, making it the hypotenuse. <u>Using this info, 
</u>
<h3>B.</h3>
So we already know from part A that side b is the hypotenuse. And also since side c touches the angle, it is the adjacent.<u> Using this info, 
</u>
<h3>C.</h3>
Next, it has been established that side c is the adjacent and side a is the opposite side. <u>Using this info, 
</u>
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
