Advertisements
Advertisements
प्रश्न
Prove the following identities:
`(cotA - cosecA)^2 = (1 - cosA)/(1 + cosA)`
Advertisements
उत्तर
`(cotA - cosecA)^2 = (1 - cosA)/(1 + cosA)`
`cot^2A - 2cotA cosecA + cosec^2x = (1 - cosA)/(1 + cosA)`
`(cos^2A)/(sin^2A) - (2cosA)/(sin^2A) + 1/(sin^2A) = (1 - cosA)/(1 + cosA)`
`(cos^2A - 2cosA + 1)/(sin^2A) = (1 - cosA)/(1 + cosA)`
`(cos^2A - 2cosA + 1)/(1 - cos^2A) = (1 - cosA)/(1 + cosA)`
`((1 - cosA)(1 - cosA))/((1 + cosA)(1 - cosA)) = (1 - cosA)/(1 + cosA)`
`(1 - cosA)/(1 + cosA) = (1 - cosA)/(1 + cosA)`
APPEARS IN
संबंधित प्रश्न
Show that `sqrt((1+cosA)/(1-cosA)) = cosec A + cot A`
The angles of depression of two ships A and B as observed from the top of a light house 60 m high are 60° and 45° respectively. If the two ships are on the opposite sides of the light house, find the distance between the two ships. Give your answer correct to the nearest whole number.
Prove the following identities:
cosec A(1 + cos A) (cosec A – cot A) = 1
Prove that:
`(sinA - sinB)/(cosA + cosB) + (cosA - cosB)/(sinA + sinB) = 0`
`(1-tan^2 theta)/(cot^2-1) = tan^2 theta`
`(cot ^theta)/((cosec theta+1)) + ((cosec theta + 1))/cot theta = 2 sec theta`
Prove that :(sinθ+cosecθ)2+(cosθ+ secθ)2 = 7 + tan2 θ+cot2 θ.
Prove that `(cot "A" + "cosec A" - 1)/(cot "A" - "cosec A" + 1) = (1 + cos "A")/sin "A"`
If A + B = 90°, show that sec2 A + sec2 B = sec2 A. sec2 B.
Prove that : `tan"A"/(1 - cot"A") + cot"A"/(1 - tan"A") = sec"A".cosec"A" + 1`.
