Advertisements
Advertisements
Question
Prove the following identity :
sinθcotθ + sinθcosecθ = 1 + cosθ
Advertisements
Solution
sinθcotθ + sinθcosecθ = 1 + cosθ
LHS = `sinθcosθ/sinθ + sinθ1/sinθ`
= cosθ + 1 = RHS
APPEARS IN
RELATED QUESTIONS
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = cosec A - cot A`
Prove that:
`(sinA - cosA)(1 + tanA + cotA) = secA/(cosec^2A) - (cosecA)/(sec^2A)`
`tan theta /((1 - cot theta )) + cot theta /((1 - tan theta)) = (1+ sec theta cosec theta)`
If \[\sin \theta = \frac{4}{5}\] what is the value of cotθ + cosecθ?
If \[sec\theta + tan\theta = x\] then \[tan\theta =\]
Prove the following identities.
tan4 θ + tan2 θ = sec4 θ – sec2 θ
Prove that `sec"A"/(tan "A" + cot "A")` = sin A
Prove that `(1 + sec "A")/"sec A" = (sin^2"A")/(1 - cos"A")`
Prove that
sin2A . tan A + cos2A . cot A + 2 sin A . cos A = tan A + cot A
tan θ × `sqrt(1 - sin^2 θ)` is equal to:
