Math  /  Trigonometry

QuestionProve the identity: sinx1+cosx+1+cosxsinx=2sinx\frac{\sin x}{1+\cos x}+\frac{1+\cos x}{\sin x}=\frac{2}{\sin x}.

Studdy Solution
The term (1+cosx)(1+\cos x) in the numerator and denominator cancel out.
21+cosx(1+cosx)sinx=21sinx2\frac{1+\cos x}{(1+\cos x)\sin x}=2\frac{1}{\sin x}So, we have proved thatsinx1+cosx+1+cosxsinx=2sinx\frac{\sin x}{1+\cos x}+\frac{1+\cos x}{\sin x}=\frac{2}{\sin x}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord