Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics - 2
10.4 Relations between Sin θ, Cos θ and Tan θ

The ratios sin θ, cos θ and tan θ of an angle are very closely related. If one of them is known, the other two can be easily determined.

Example:
If sin θ = 3/5, find tan θ, θ is acute.
cos θ = 4/5
tan θ = sin θ/ cos θ = 3/4


Directions: Answer the following questions. Also write at least ten examples of your own.
Q 1: Given cos θ = 3/5, calculate the value of sin θ, tan θ.
sin θ = 4/5; tan θ = 4/3
sin θ = 4/5; tan θ = 4/3
sin θ = 4/5; tan θ = 4/3
sin θ = 4/5; tan θ = 4/3

Q 2: If sin A = 2/3, find tan A.
3/2
5/3;
2/5;
1

Q 3: If tan B = 3, find sin B, cos B.
sin B = 1/2; cos B = 3/2
sin B = 2; cos B = 1/2
sin B = 3/2; cos B = 1/2
sin B = 3/2; cos B = 1/2

Q 4: If tan C = 11, find sin C. cos C.
11/122;
1/11
11/122
1/122;

Q 5: If sin θ = 8/17, then tan θ is
15/17
8/25
17/15
8/15

Q 6: If θ is acute and tan θ = 4/3, find the value of sin θ + cosθ.
7/5
7/4
3/4
3/7

Q 7: if sin θ = 1/10, find cos θ .
1/3
3/10
1/10
10

Q 8: If sin θ = 1/2, find the values of cos θ, tan θ
cos θ = 1/2; tan θ = 1
cos θ = 2; tan θ = 1
cos θ = 1; tan θ = 1/2
cos θ = 1; tan θ = 1

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