Answer:
25
Step-by-step explanation:
Use the order of operations.
Answer: 2sin^2x+sin2x+cos2x=0 ..... (1).
By using the trigonometric identities below :
sin2x=2sinxcosx
cos2x=cos^2x-sin^2x
We substitute the trigonometric identities into (1).
2sin^2x+2sinxcosx+cos^2x-sin^2x=0
By combining like terms .
sin^2x+2sinxcosx+cos^2x=0.....(2)
The equation (2) is equivalent to the following expression (3).
(sinx+cosx)(sinx+cosx)=0 .....(3).
sinx+cosx=0
cosx=-sinx
divide both sides by cosx
1=-sinx/cosx
-1=sinx/cosx
sinx/cosx=tanx
substitute
-1=tanx
tanx=-1
tangent is negative in 2nd and 4th quadrants
tan135º=-1 (one answer)
tan315º=-1 (second answer)
Step-by-step explanation:
Please refer to the trigonometric identities used and explained above .
Answer:
Laura and Rob are correct
Step-by-step explanation:
we have
39/50
1) Rob said he could divide the numerator by the denominator
so
using a calculator
39/50=0.78
Rob is correct
2) Laura said she could write an equivalent fraction with 100 as the denominator to converted into a decimal
so
Multiply by 2/2
(39/50)*(2/2)=78/100=0.78
Laura is correct
therefore
Laura and Rob are correct
Answer:
- 0, 3, 8, 15, 24
- y = x² + 2x
Step-by-step explanation:
<u>The pattern is</u>
- Step 1 ⇒ 1*3 = 3
- Step 2 ⇒ 2*4 = 8
- Step 3 ⇒ 3*5 = 15
<u>Next step would be</u>
<u>Step zero would be</u>
<u>The equation</u>