Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
Answer:
Step-by-step explanation:
Given the expression cosec (x) = 4 and tan(x)< 0
since cosec x = 1/sinx
1/sinx = 4
sinx = 1/4
From SOH, CAH TOA
sinθ = opposite/hypotenuse
from sinx = 1/4
opposite = 1 and hypotenuse = 4
to get the adjacent, we will use the Pythagoras theorem
adj² = 4²-1²
adj² = 16-1
adj ²= 15
adj = √15
cosx = adj/hyp = √15/4
tanx = opposite/adjacent = 1/√15
since tan < 0, then tanx = -1/√15
From double angle formula;
sin2x = 2sinxcosx
sin2x = 2(1/4)(√15/4)
sin2x = 2√15/16
sin2x = √15/8
for cos2x;
cos2x = 1-2sin²x
cos2x = 1-2(1/4)²
cos2x = 1-2(1/16)
cos2x= 1-1/8
cos2x = 7/8
for tan2x;
tan2x = tanx + tanx/1-tan²x
tan2x = 2tanx/1-tan²x
tan2x = 2(-1/√15)/1-(-1/√15)²
tan2x = (-2/√15)/(1-1/15)
tan2x = (-2/√15)/(14/15)
tan2x = -2/√15 * 15/14
tan2x = -30/14√15
tan2x = -30/7√15
rationalize
tan2x = -30/7√15 * √15/√15
tan2x = -30√15/7*15
tan2x = -2√15/7
It would be zero bc, 9x-7=-7 you do KCF Change the sign to addition so -7+7=0 now you divide 0 divided by 9=0. Hope this helps
The surface area is 76m square
Answer:
The answer to your question is 3
Step-by-step explanation:
Expression
3⁴ + 9² / 3³ - 9²
1.- Do the division
3⁴ + (9² / 3³) - 9²
Use law of exponents
3⁴ + (3⁴ / 3³) - 9²
3⁴ + 3⁴⁻³ - 9²
Simplify
3⁴ + 3 - 9²
2.- Convert 9² to base 3
3⁴ + 3 - 3⁴
3.- Simplify (associative property)
( 3⁴ - 3⁴ ) + 3
4.- Result
3
