sin teta by 1-cot teta + cos teta by 1- tan teta = sin teta +cos teta​

1 thought on “sin teta by 1-cot teta + cos teta by 1- tan teta = sin teta +cos teta​”

1. [tex]\pink{\boxed{\blue{\mathcal{\overbrace{\underbrace{{\underline{Answer}}}}}}}}[/tex]

   [tex]➪ \frac{ \sin \theta}{1 – \frac{cos \theta}{sin \theta} } + \frac{cos \theta}{1 – \frac{sin \theta}{cos \theta} } [/tex]

   [tex]➪\frac{ \sin \theta}{ \frac{sin \theta – cos \theta}{sin \theta} } + \frac{cos \theta}{ \frac{cos \theta \: – sin \theta}{cos \theta} } [/tex]

   [tex]➪ \frac{sin ^{2}\theta}{sin\theta \: – cos\theta} – \frac{cos^{2}\theta}{sin\theta \: – cos\theta} [/tex]

   [tex]➪ \frac{ \: sin^{2}\theta -cos^{2}\theta }{sin\theta \: – cos\theta} [/tex]

   [tex]➪sin\theta + cos\theta [/tex]

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