Paano mo pinagaan (cot (theta)) / (csc (theta) - kasalanan (theta))?

# = (costheta / sintheta) / (1 / sintheta - sin theta) #

# = (costheta / sintheta) / (1 / sintheta - sin ^ 2theta / sintheta) #

# = (costheta / sintheta) / ((1 - sin ^ 2theta) / sintheta #

# = (costheta / sintheta) / (cos ^ 2theta / sintheta) #

# = costheta / sintheta xx sintheta / cos ^ 2theta #

# = 1 / costheta #

# = sectheta #

Sana ay makakatulong ito!

Sagot:

#sec theta #

Paliwanag:

Mula noon #cot theta = cos theta / sin theta at csc theta = 1 / sin theta #, ang pagpapahayag ay nagiging:

# (cos theta / sin theta) / (1 / sintheta-sin theta) #

iyan

# (cos theta / sin theta) / ((1-sin ^ 2 theta) / sin theta) #;

pagkatapos, dahil # 1-sin ^ 2 theta = cos ^ 2 theta #, ang pagpapahayag ay nagiging:

# (cos theta / cancel the sin theta) / (cos ^ 2 theta / cancel sin theta) #

# = 1 / cos theta = sec theta #