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Questions and Answers
If sin(A) = 4/5 and A is an acute angle in a right-angled triangle, what is the value of cos(A)?
If sin(A) = 4/5 and A is an acute angle in a right-angled triangle, what is the value of cos(A)?
- 3/5 (correct)
- 4/3
- -3/5
- -4/3
What is the value of sin(-30°)?
What is the value of sin(-30°)?
- -1
- 0.5
- -0.5 (correct)
- 1
Which of the following identities represents the relationship between sin(A+B) and sinA, sinB, cosA, cosB?
Which of the following identities represents the relationship between sin(A+B) and sinA, sinB, cosA, cosB?
- sin(A+B) = sinAcosB + sinBcosA
- sin(A+B) = cosAcosB - sinAsinB
- sin(A+B) = cosAcosB + sinAsinB (correct)
- sin(A+B) = sinAcosB - sinBcosA
If cot(X) = -3/4, what is the value of tan(-X)?
If cot(X) = -3/4, what is the value of tan(-X)?
What is the value of sin2(45°)?
What is the value of sin2(45°)?
Flashcards
sin(A) = 4/5, find cos(A)
sin(A) = 4/5, find cos(A)
In a right-angled triangle, if sin(A) is 4/5, then cos(A) is 3/5.
sin(-30°)
sin(-30°)
The sine of a negative angle is the negative of the sine of the positive angle.
sin(A+B) identity
sin(A+B) identity
sin(A + B) = sinAcosB + cosAsinB
cot(X) = -3/4, find tan(-X)
cot(X) = -3/4, find tan(-X)
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sin²(45°)
sin²(45°)
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Study Notes
Trigonometric Identities and Values
- If sin(A) = 4/5 and A is an acute angle in a right-angled triangle, then cos(A) = √(1 - (4/5)^2) = 3/5
- The value of sin(-30°) is -1/2
- The relationship between sin(A+B) and sinA, sinB, cosA, cosB is sin(A+B) = sinAcosB + cosAsinB
- If cot(X) = -3/4, then tan(-X) = 1/(-3/4) = -4/3
- The value of sin2(45°) is sin(2*45°) = sin(90°) = 1
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