Show that tanθ + cotθ = 2 Cosec2θ Show that (cosθ (1-cosθ) ) / 2 = sinθ/2 Show that ( (1+tanθ) ) / ( (1+cotθ) ) = tan θ
Added by George M.
Step 1
So, let's add them: tanθ + cotθ = (sinθ/cosθ) + (cosθ/sinθ) To add these fractions, we need a common denominator, which is sinθ * cosθ: tanθ + cotθ = (sin²θ + cos²θ) / (sinθ * cosθ) We know that sin²θ + cos²θ = 1 (based on the Pythagorean identity), so: tanθ Show more…
Show all steps
Your feedback will help us improve your experience
Maria Dearborn and 68 other Geometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Show that tanθ + cotθ = 2 Cosec2θ
Mukesh D.
Prove the identity: $\cot \theta=\frac{\sin 2 \theta}{1-\cos 2 \theta}$
TRIGONOMETRIC IDENTITIES
Functions of 2 A
Prove the identity. $$\tan \theta(\tan \theta+\cot \theta)=\sec ^{2} \theta$$
Trigonometric Identities, Inverse Functions, and Equations
Proving Trigonometric ldentities
Recommended Textbooks
Geometry A Common Core Curriculum
Geometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD