Question

If Sin (∝ + β) = 1 and cos (∝ − β) = 1 where ∝ + β <90, then the value of ∝ and
β are respectively equal to

A. 60°
and 30°
B. 30°
and 60°

C. 90°
and 00°
D. 45°
and 45°​

Answer 1

Answer:

answer is "D"45 and 45

hope you understand

sin(45+45)=1……..sin90=1

cos (45-45)=1……....cos0=1

Answer 2

Given : Sin (∝ + β) = 1 and cos (∝ − β) = 1  ∝ + β ≤ 90

To Find : value of ∝ and β

Solution:

Sin (∝ + β) = 1  

=> ∝ + β = 90°

cos (∝ − β) = 1

=> ∝ − β = 0°

Adding both

2∝ = 90°

=> ∝ = 45°

=> β = 45°

Hence value of ∝ and β are   45° each

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