Question

sin2A=cos(A-30°) find A​

Answer 1

Answer:

${ \sf{ \underline{ \large{Given}}}}$

$\: \: \: \: \: \: \: \: \: \: { \sf{❍ \: Sin2A = Cos(A - 30°)}}$

${ \large{ \sf{ \underline{To \: Find}}}}$

$\: \: \: \: \: \: \: \: \: \: { \sf{❍ \: Find \: Angle \: A? }}$

${ \large{ \sf{ \underline{Solution}}}}$

• Here We using identify, Sin(90-A) = CosA, By this formula we can find angle A. Let's Start Our Solution.

━━━━━━━━━━━━━━━━━━━━━

${\dashrightarrow{\sf{Sin2A = Cos(A - 30°)}}} \\ \\ \\ {\dashrightarrow{\sf{Cos(90-2A)= Cos(A-30°)}}} \\ \\ \\ {\dashrightarrow{\sf{90-2A = A-30°}}} \\ \\ \\ {\dashrightarrow{\sf{90+30=A+2A}}} \\ \\ \\ {\dashrightarrow{\sf{120°=3A}}} \\ \\ \\ {\dashrightarrow{\sf{A= \frac{120}{3} }}} \\ \\ \\ {\dashrightarrow{\sf{A=40°}}} \\ \\ \\ \\ { \sf{ \boxed{ \boxed{ \pink{\sf{\therefore{Angle \: A = 40°}}}}}}}$