Advertisements
Advertisements
Question
Choose the correct alternative:
cos θ. sec θ = ?
Options
1
0
`1/2`
`sqrt(2)`
Advertisements
Solution
1
cos θ. sec θ = cos θ. `1/"cos θ"` = 1.
APPEARS IN
RELATED QUESTIONS
Prove the following identities:
`(i) (sinθ + cosecθ)^2 + (cosθ + secθ)^2 = 7 + tan^2 θ + cot^2 θ`
`(ii) (sinθ + secθ)^2 + (cosθ + cosecθ)^2 = (1 + secθ cosecθ)^2`
`(iii) sec^4 θ– sec^2 θ = tan^4 θ + tan^2 θ`
if `cos theta = 5/13` where `theta` is an acute angle. Find the value of `sin theta`
Prove that `sqrt((1 + cos theta)/(1 - cos theta)) + sqrt((1 - cos theta)/(1 + cos theta)) = 2 cosec theta`
If sin A + cos A = p and sec A + cosec A = q, then prove that : q(p2 – 1) = 2p.
`(1+ tan theta + cot theta )(sintheta - cos theta) = ((sec theta)/ (cosec^2 theta)-( cosec theta)/(sec^2 theta))`
`{1/((sec^2 theta- cos^2 theta))+ 1/((cosec^2 theta - sin^2 theta))} ( sin^2 theta cos^2 theta) = (1- sin^2 theta cos ^2 theta)/(2+ sin^2 theta cos^2 theta)`
Prove that `( sintheta - 2 sin ^3 theta ) = ( 2 cos ^3 theta - cos theta) tan theta`
Write the value of`(tan^2 theta - sec^2 theta)/(cot^2 theta - cosec^2 theta)`
If `sec theta = x ,"write the value of tan" theta`.
\[\frac{1 - \sin \theta}{\cos \theta}\] is equal to
If sin θ + sin2 θ = 1, then cos2 θ + cos4 θ =
(sec A + tan A) (1 − sin A) = ______.
Prove the following identity :
`(cos^3A + sin^3A)/(cosA + sinA) + (cos^3A - sin^3A)/(cosA - sinA) = 2`
Find the value of x , if `cosx = cos60^circ cos30^circ - sin60^circ sin30^circ`
If tan A + sin A = m and tan A − sin A = n, then show that `m^2 - n^2 = 4 sqrt (mn)`.
Prove the following identities.
`(1 - tan^2theta)/(cot^2 theta - 1)` = tan2 θ
Prove that `(1 + sec "A")/"sec A" = (sin^2"A")/(1 - cos"A")`
Prove that 2(sin6A + cos6A) – 3(sin4A + cos4A) + 1 = 0
Prove the following:
`sintheta/(1 + cos theta) + (1 + cos theta)/sintheta` = 2cosecθ
The value of 2sinθ can be `a + 1/a`, where a is a positive number, and a ≠ 1.
