Question

$if \: sin \alpha = \frac{1}{underroot(2)} \: and \: \tan( \beta ) = 1 \\ find \: \sin( \alpha + \beta )$

Answer 1

$\sin( \alpha ) = (1 \div \sqrt{2} ) \\ \alpha = (\pi \div 4).....(1) \\ \tan( \beta ) = 1 \\ \beta = (\pi \div 4) \\ \alpha + \beta = (\pi \div 2) \\ \sin( \alpha + \beta ) = \sin(90) = 1$
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.....
we know
sin(π/4)=sin45=1/√2
and
tan(π/4)=tan45=1

Answer 2

Answer:

sin(α)=(1÷

2

)

α=(π÷4).....(1)

tan(β)=1

β=(π÷4)

α+β=(π÷2)

sin(α+β)=sin(90)=1

we know

sin(π/4)=sin45=1/√2

and

tan(π/4)=tan45=1

Step-by-step explanation: