Question

$In \: triangle \: ABC, Right-angled \: at \: B , \: If \: tan A = \frac{1}{ \sqrt{3} } \: ,\\ find \: the \: value \: of : \\ (i) sinA \: cosC + cosA \: sinC \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ (i) cosA \: cosC - sinA \: sinC \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$
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Answer 1

Step-by-step explanation:

In a triangle right angled @B

and Tan A=1/√3

Tan thetha= o/a

so...

opp=1

adj=√3

and Hyp=√1^2+(√3)^2 as per Pythagoras theorem

then Hyp =2

1) sin a=1/2 cos c=1/2 + cos a=√3/2 sin c=√3

1/4+3/2

1/4+6/4

7/4

Answer 2

Step-by-step explanation:

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