Question

• Check whether the following terms are in proportion? 1) 5, 6, 7, 8 2) 3, 5, 6, 10 3) 4, 8, 7, 14 4) 2, 12, 3, 18
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Answer 1

Answer:

- if; cosθ+cotθ=2 ; where the θ of cos is equal to the θ of tan, and the θ of cot is eqaul to the θ of sec

Then prove that :- tan(sqaure)θ + sec(sqaure)θ = 2

Answer 2

Answer:

Option 1 is not in proportion... Option 2,3,4 are in proportion.

Step-by-step explanation:

Option 1. No of exterior = 5*8= 40

No of interior = 6*7= 42

Therefore, Option 1 is not in proportion.

Option 2. No of exterior = 3*10= 30

No of interior = 5*6= 30

Therefore, Option 2 is in proportion.

Option 3. No of exterior = 4*14= 56

No of interior = 8*7= 56

Therefore, Option 3 is in proportion.

Option 4. No of exterior = 2*18= 36

No of interior = 12*3= 36

Therefore, Option 4 is in proportion.