QUESTION 2 H.W Refer to A ABC below, with sides of length a, b, c and vertical height h. a b h B A C 2.1 Write down sin A in terms of b and h. 2.2 Write down sin B in terms of a and h. sin A sin B 2.3 Hence show that a b 2.4. Write down the formula for area of A ABC in terms of c and h
QUESTION 2 H.W Refer to A ABC below, with sides of length a, b, c and vertical height h. a b h B A C 2.1 Write down sin A in terms of b and h. 2.2 Write down sin B in terms of a and h. sin A sin B 2.3 Hence show that a b 2.4. Write down the formula for area of A ABC in terms of c and h
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 42E
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Question
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![QUESTION 2
Refer to A ABC below, with sides of length a, b, c and vertical
height h.
h
B
C
2.1
Write down sin A in terms of b and h.
Write down sin B in terms of a and h.
Hence show that
sin A
sin B
a
b
Write down the formula for area of A ABC in terms of c and h
Use a calculator to find the value of sin 61.4°
Determine the value of
corrected to ONE decimal digit:
3.2.1 tan 0 = 2.461
3.2.2 3sin(30-60°) = 0.531
Consider the function f(x) = -2 cos x
4.1.1 Make a neat sketch of f for 0 ≤x≤360° on the axes
provided on DIAGRAM SHEET 2. Clearly indicate on
your sketch the intercepts with the axes and the turning
points.
4.1.2 What is the amplitude of f?
anted about the x-axis, write
2.2
2.3
2.4.
QUESTION 3
3.1
3.2
QUESTION 4
-.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aa11744-331a-4743-af4b-163ffe9c1833%2F7c0a6f79-f404-41c5-b757-481a1ad4635e%2Fdvq0vpe_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 2
Refer to A ABC below, with sides of length a, b, c and vertical
height h.
h
B
C
2.1
Write down sin A in terms of b and h.
Write down sin B in terms of a and h.
Hence show that
sin A
sin B
a
b
Write down the formula for area of A ABC in terms of c and h
Use a calculator to find the value of sin 61.4°
Determine the value of
corrected to ONE decimal digit:
3.2.1 tan 0 = 2.461
3.2.2 3sin(30-60°) = 0.531
Consider the function f(x) = -2 cos x
4.1.1 Make a neat sketch of f for 0 ≤x≤360° on the axes
provided on DIAGRAM SHEET 2. Clearly indicate on
your sketch the intercepts with the axes and the turning
points.
4.1.2 What is the amplitude of f?
anted about the x-axis, write
2.2
2.3
2.4.
QUESTION 3
3.1
3.2
QUESTION 4
-.1
![QUESTION 1
1.1
If x= 65° and y = 25°, use a calculator to determine whether
the following statements are true or false:
1.1.1 sin x + sin y = sin(x + y)
1.1.2 sin 2x=2sinxcos x
1.1.3 sin² x + cos²x = (sin x + cos x)²
The point P (k;8) lies in the first quadrant such that OP = 17 units
and TOP = a as shown in the diagram below:
,P(k: S)
KI
a
T
Determine the value of:
1.2.1 k
1.2.2 tan a
1.2.3 cosa-sina
Given: √√3 tan 0-1=0 and 0° ≤0 ≤ 90°
1.3.1 Draw a neat sketch of the triangle based on the above
information.
sin
that
= tan, without
1.3.2 Use your sketch to prove
cos
کیا جاتا
1.2
eee
(2)
(1)
(2)
(2)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3aa11744-331a-4743-af4b-163ffe9c1833%2F7c0a6f79-f404-41c5-b757-481a1ad4635e%2Fp3y4nrj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:QUESTION 1
1.1
If x= 65° and y = 25°, use a calculator to determine whether
the following statements are true or false:
1.1.1 sin x + sin y = sin(x + y)
1.1.2 sin 2x=2sinxcos x
1.1.3 sin² x + cos²x = (sin x + cos x)²
The point P (k;8) lies in the first quadrant such that OP = 17 units
and TOP = a as shown in the diagram below:
,P(k: S)
KI
a
T
Determine the value of:
1.2.1 k
1.2.2 tan a
1.2.3 cosa-sina
Given: √√3 tan 0-1=0 and 0° ≤0 ≤ 90°
1.3.1 Draw a neat sketch of the triangle based on the above
information.
sin
that
= tan, without
1.3.2 Use your sketch to prove
cos
کیا جاتا
1.2
eee
(2)
(1)
(2)
(2)
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