Advertisements
Advertisements
प्रश्न
Write the value of `( 1- sin ^2 theta ) sec^2 theta.`
Advertisements
उत्तर
`(1- sin^2 theta ) sec^2 theta `
= `cos^2 theta xx 1/ cos^2 theta`
=1
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
if `T_n = sin^n theta + cos^n theta`, prove that `(T_3 - T_5)/T_1 = (T_5 - T_7)/T_3`
If sin θ + cos θ = x, prove that `sin^6 theta + cos^6 theta = (4- 3(x^2 - 1)^2)/4`
Prove the following identities:
(1 – tan A)2 + (1 + tan A)2 = 2 sec2A
Prove the following identities:
`(1 + cosA)/(1 - cosA) = tan^2A/(secA - 1)^2`
Prove the following identities:
`sinA/(1 + cosA) = cosec A - cot A`
Prove the following identities:
(1 + tan A + sec A) (1 + cot A – cosec A) = 2
`(tan^2theta)/((1+ tan^2 theta))+ cot^2 theta/((1+ cot^2 theta))=1`
If `cos theta = 2/3 , "write the value of" ((sec theta -1))/((sec theta +1))`
If `tan theta = 1/sqrt(5), "write the value of" (( cosec^2 theta - sec^2 theta))/(( cosec^2 theta - sec^2 theta))`.
What is the value of 9cot2 θ − 9cosec2 θ?
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 :
`sinθ(1 + tanθ) + cosθ(1 +cotθ) = secθ + cosecθ`
Prove the following identity :
`1/(tanA + cotA) = sinAcosA`
Without using trigonometric table , evaluate :
`(sin47^circ/cos43^circ)^2 - 4cos^2 45^circ + (cos43^circ/sin47^circ)^2`
Find the value of sin 30° + cos 60°.
If A = 60°, B = 30° verify that tan( A - B) = `(tan A - tan B)/(1 + tan A. tan B)`.
Prove that: `(sin A + cos A)/(sin A - cos A) + (sin A - cos A)/(sin A + cos A) = 2/(sin^2 A - cos^2 A)`.
Prove that sin6A + cos6A = 1 – 3sin2A . cos2A
If sin A = `1/2`, then the value of sec A is ______.
