Question

Sin (&+B)=1 &
cos (&-8)=1 whereas &+B<90, then
the value of a & B are respectively equal to
​

Answer 1

Answer:

HEY THIS IS YOUR ANSWER!!

Step-by-step explanation:

Given :-

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

Solution :-

Let ∝ is denoted as A and β is denoted as B .

so,

→ sin(A + B) = 1

using sin 90° = 1 in RHS we get,

→ sin(A + B) = sin 90°

→ A + B = 90° --------- Eqn.(1)

and,

→ cos(A - B) = 1

using cos 0° = 1 in RHS we get,

→ cos(A - B) = cos 0°

→ A - B = 0°

→ A = B --------- Eqn.(2)

putting value of A in Eqn.(1)

→ B + B = 90°

→ 2B = 90°

→ B = 45° .

therefore, values of A and B are 45° .

Hence, the value of ∝ and β are respectively equal to 45° each

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