Answer:
-7
Step-by-step explanation:
h(x)={x-3}+1 if h(-5)
When h(-5) = {-5-3}+1 ={-8}+1= -8+1=-7
Answer:
Step-by-step explanation:
Given
Required
Express as a logarithm
Take log of both sides
Apply the following law of logarithm
So, the expression becomes:
Divide both sides by log 3
Hence, the expression in base 10 is:
or 
Answer:
C 1/2
Step-by-step explanation:
Answer:
Use the Pythagorean identity
tan2x+1=sec2x
to start the simplification on the left side.
Step-by-step explanation:
・ᗜ・
9514 1404 393
Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
_____
If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.
