Question

sinTheta×cosTheta =1/2 then the value of (sinTheta + cosTheta) is what ?

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Answer 1

Answer:

2root2/2

Step-by-step explanation:

sinTheta×cosTheta =1/2

let theta be 30

sin30* cos30 = 1/2

1/root2 * 1/root2 = 1/2

1/2 = 1/2 (LHS = RHS)

so,

(sinTheta + cosTheta)

sin 30 + cos30 =  1/root2  + 1/root2 = {root2(1) +root2(1)}/root2^2 = 2root2/2

Answer 2

Answer:

√2

Step-by-step explanation:

let theta = ∝

sin∝cos∝ =1/2

2sin∝cos∝ = 1  

sin2∝ = 1

2∝ = 90°

∝ = 45°

sin∝ + cos∝ = sin45° + cos45° =  2/√2 = √2

An other solution

sin∝cos∝ =1/2

sin∝ + cos∝ = √( sin∝ + cos∝)² = √1+2sin∝cos∝ = √1+2/2 =√1+1 = √2