Answer:
9.6667
Step-by-step explanation:
3t=29
Divide each side by 3
3t/3 = 29/3
t = 29/3
Three goes into 29 nine times (3*9 = 27 ) with 2 left over
t = 9 2/3
We know 1/3 = .3 repeating
so 2/3 = .6 repeating
t = 9 .6 repeating
(tanθ + cotθ)² = sec²θ + csc²θ
<u>Expand left side</u>: tan²θ + 2tanθcotθ + cot²θ
<u>Evaluate middle term</u>: 2tanθcotθ =
= 2
⇒ tan²θ + 2+ cot²θ
= tan²θ + 1 + 1 + cot²θ
<u>Apply trig identity:</u> tan²θ + 1 = sec²θ
⇒ sec²θ + 1 + cot²θ
<u>Apply trig identity:</u> 1 + cot²θ = csc²θ
⇒ sec²θ + csc²θ
Left side equals Right side so equation is verified
Answer:
As it ایس the correct answer is 45
78
7.90