Advertisements
Advertisements
Question
Prove that:
`1/(1 + cos(90^@ - A)) + 1/(1 - cos(90^@ - A)) = 2cosec^2(90^@ - A)`
Advertisements
Solution
`1/(1 + cos(90^@ - A)) + 1/(1 - cos(90^@ - A))`
= `1/(1 + sinA) + 1/(1 - sinA)`
= `(1 - sinA + 1 + sinA)/((1 + sinA)(1 - sinA))`
= `2/(1 - sin^2A)`
= `2/cos^2A`
= 2 sec2 A
= 2 cosec2 (90° – A)
RELATED QUESTIONS
Without using trigonometric tables evaluate:
`(sin 65^@)/(cos 25^@) + (cos 32^@)/(sin 58^@) - sin 28^2. sec 62^@ + cosec^2 30^@`
if `tan theta = 1/sqrt2` find the value of `(cosec^2 theta - sec^2 theta)/(cosec^2 theta + cot^2 theta)`
if `tan theta = 3/4`, find the value of `(1 - cos theta)/(1 +cos theta)`
Use tables to find cosine of 26° 32’
Use tables to find the acute angle θ, if the value of sin θ is 0.6525
If A and B are complementary angles, prove that:
cosec2 A + cosec2 B = cosec2 A cosec2 B
If 16 cot x = 12, then \[\frac{\sin x - \cos x}{\sin x + \cos x}\]
If angles A, B, C to a ∆ABC from an increasing AP, then sin B =
In the following Figure. AD = 4 cm, BD = 3 cm and CB = 12 cm, find the cot θ.
Express the following in term of angles between 0° and 45° :
sin 59° + tan 63°
