Question

3 -- If Cot A=1 find SinA +COSA.​

Answer 1

Answer:

√2

Step-by-step explanation:

if cotA=1

A=45degrees

sin45

=1/√2

cos45=1/√2

so sinA+cosA=√2

Answer 2

$\huge{ \: \pink{given}</p><p>\: \: }</p><p> \\ \\ \cot(a) = 1 \\ \\ . \huge \: . \green{to \: \: find \: \: } \: \: \: \\ \\ \sin(a) + \cos(a) \\ \\ </p><p>\huge{ \blue{solution}</p><h2>} \\ \\ \cot(a) = 1 \\ \\ \tan(a) = \frac{1}{ \cot(a) } \\ \\ \tan(a) = \frac{1}{1} = 1 \\ \\ \tan(a) = \tan( \frac{\pi}{4} ) \\ \\ a = \frac{\pi}{4} \\ \\ = \sin(a) + \cos(a) \\ \\ = \sin( \frac{\pi}{4} ) + \cos( \frac{\pi}{4} ) \\ \\ = \frac{1}{ \sqrt{2} } + \frac{1}{ \sqrt{2} } \\ \\ = \frac{1 + 1}{ \sqrt{2} } \\ \\ = \frac{2}{ \sqrt{2} } \\ \\ = \sqrt{2}$