Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the measure of angle C
we know that
The triangle ABC is a right triangle
so
Angle C is a right angle
therefore

step 2
Fin the measure of angle A
we know that
In the right triangle ABC
∠B+∠A=90° -----> by complementary angles
we have

substitute


step 3
Find the length side b
we know that
In the right triangle ABC


substitute the given values

step 4
Find the length side a
we know that
In the right triangle ABC


substitute the given values

Answer:
A. Wavelength
Step-by-step explanation:
I calculated it logically
Ans:8x-3y=27
Step-by-step explanation:
let,A,B be the line which have points (3,-1),(6,7)
here,
(3,-1)=(x1,y1)
(6,7)=(x2,y2)
then,
slope of line AB =(y2-y1/x2-x1)
=(7+1/6-3)
=8/3
Now,
equation of the line AB,
(y-y1)=m(x-x1)
(y+1)=8/3(x-3)
3y+3=8x-24
-8x+3y=-24-3
-8x+3y=-27
-(8x-3y=27)
8x-3y=27
Hence, the equation of the line through the points (3,-1) ,(6,7) is 8x-3y=27.
Answer:
d
Step-by-step explanation:
Step-by-step explanation:
Step 1: From the given equation, taking the Left Hand Side (LHS) of the equation
Step 2: Simplify the LHS to make it equal to the Right Hand Side (RHS)
LHS = sin^4x - cos^4x = (sin²x)² - (cos²x)²
= (sin²x - cos²x)(sin²x + cos²x)
= sin²x - (1 - sin²x) since sin²x + cos²x = 1
= 2 sin²x - 1
= RHS
Hence proved.