Question

prove that sin theta + cos theta = 1​

Answer 1

Bhangra refers to several forms of folk dance and music that originate in the Punjab region of India. The dance is generally performed during the Vaisakhi festival that celebrates the harvest. Bhangra has a very energetic and lively tone and the dance is equally vivacious.

Answer 2

Answer:

$\begin{gathered}\sf we ~know~that~ a^3+b^3= (a+b) (a^2+b^2-ab) \\\\\sf sin^3\theta+cos^3\theta=(sin \theta +cos \theta) (sin^2\theta+cos^2\theta-sin \theta cos \theta ) \end{gathered}$

$\begin{gathered} =\frac {(sin \theta +cos \theta) (sin^2\theta+cos^2\theta-sin \theta cos \theta ) } {sin \theta + cos \theta} + sin \theta cos \theta \\\\\sf \frac {\cancel{(sin \theta +cos \theta)} (sin^2\theta+cos^2\theta-sin \theta cos \theta ) } {\cancel {sin \theta + cos \theta} } + sin \theta cos \theta \\\\\sf =(sin^2\theta+cos^2\theta-sin \theta cos \theta ) + sin \theta cos \theta \\\\\sf =1-sin \theta cos \theta + sin \theta cos \theta \\\\\sf =1 \end{gathered}$