(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:
72 / 123 * 100 = 58.53658537 per cent
Step-by-step explanation:
Do (4^9)^5 first, when an exponent is in a parenthesis with another exponent outside, you multiply them which makes 4^45. Then we multiply 4^0 but this time we add the exponent because there’s no parentheses, which gives you 4^45.
B because it u and 9 friends each want the same amount from splitting 1.30 which gives you .13
Answer:
8+2
Step-by-step explanation:
2+2+2+2++=8+2
4^2+2^2=h^2
20=h^2
h=
