Advertisements
Advertisements
प्रश्न
Without using trigonometric table , evaluate :
`cosec49°cos41° + (tan31°)/(cot59°)`
Advertisements
उत्तर
`cosec49°cos41° + (tan31°)/(cot59°)`
⇒ `sec(90^circ - 41^circ)cos41^circ + cot(90^circ - 59^circ)/cot56^circ`
⇒ `sec41^circ cos41^circ + cot59^circ/cot59^circ` = 1+ 1 = 2
APPEARS IN
संबंधित प्रश्न
Prove the following identities:
cot2 A – cos2 A = cos2 A . cot2 A
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = sinA/(1 + cosA)`
`cot^2 theta - 1/(sin^2 theta ) = -1`a
Show that none of the following is an identity:
`sin^2 theta + sin theta =2`
If a cos θ + b sin θ = m and a sin θ − b cos θ = n, then a2 + b2 =
\[\frac{1 + \tan^2 A}{1 + \cot^2 A}\]is equal to
Prove the following identity :
`sqrt((secq - 1)/(secq + 1)) + sqrt((secq + 1)/(secq - 1))` = 2 cosesq
Prove the following identity :
`2(sin^6θ + cos^6θ) - 3(sin^4θ + cos^4θ) + 1 = 0`
If A = 60°, B = 30° verify that tan( A - B) = `(tan A - tan B)/(1 + tan A. tan B)`.
sec 60° = ?
