(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:
7/2??
Step-by-step explanation:
Im not sure what you mean but 3 1/2 is the same thing as 7/2
The larger value is 9 x 10^9
The smaller value is 3 x 10^(-4)
Divide the larger over the smaller
Doing so will have you divide the coefficients 9 and 3 (numbers in front of the "times ten to the..." portions) to get 9/3 = 3.
Then you'll also subtract the exponents: 9 minus (-4) = 9 - (-4) = 9 + 4 = 13
In summary so far, we got a coefficient of 3 and an exponent of 13
So the final answer is 3 x 10^13 (assuming you want scientific notation)
If you want to convert to standard notation, instead of scientific notation, move the decimal point in 3.0 thirteen spots to the right to get
30,000,000,000,000
there are 13 zeros (four groups of 3 plus one just after the 3) in that value above. This is the number 30 trillion
Answer:
B
Step-by-step explanation:
i took the same question hope this helps :D