Advertisements
Advertisements
प्रश्न
If `sin theta = x , " write the value of cot "theta .`
Advertisements
उत्तर
`cot theta = cos theta / sin theta `
=` sqrt(1-sin^2 theta)/sin theta`
=`sqrt(1-x^2)/2`
APPEARS IN
संबंधित प्रश्न
Prove the following identities:
`(i) 2 (sin^6 θ + cos^6 θ) –3(sin^4 θ + cos^4 θ) + 1 = 0`
`(ii) (sin^8 θ – cos^8 θ) = (sin^2 θ – cos^2 θ) (1 – 2sin^2 θ cos^2 θ)`
Prove the following identities:
`((1 + tan^2A)cotA)/(cosec^2A) = tan A`
Prove the following identities:
(1 + tan A + sec A) (1 + cot A – cosec A) = 2
If sec A + tan A = p, show that:
`sin A = (p^2 - 1)/(p^2 + 1)`
`tan theta /((1 - cot theta )) + cot theta /((1 - tan theta)) = (1+ sec theta cosec theta)`
`(1+tan^2theta)(1+cot^2 theta)=1/((sin^2 theta- sin^4theta))`
If x= a sec `theta + b tan theta and y = a tan theta + b sec theta ,"prove that" (x^2 - y^2 )=(a^2 -b^2)`
Write the value of `(1 + cot^2 theta ) sin^2 theta`.
Write the value of ` sec^2 theta ( 1+ sintheta )(1- sintheta).`
Write the value of cos1° cos 2°........cos180° .
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 =
Without using trigonometric identity , show that :
`sin42^circ sec48^circ + cos42^circ cosec48^circ = 2`
Find the value of ( sin2 33° + sin2 57°).
Prove that : `tan"A"/(1 - cot"A") + cot"A"/(1 - tan"A") = sec"A".cosec"A" + 1`.
tan θ cosec2 θ – tan θ is equal to
Prove that cosec θ – cot θ = `sin theta/(1 + cos theta)`
Prove that `sqrt(sec^2 theta + "cosec"^2 theta) = tan theta + cot theta`
Show that `(cos^2(45^circ + θ) + cos^2(45^circ - θ))/(tan(60^circ + θ) tan(30^circ - θ)) = 1`
If cot θ = `40/9`, find the values of cosec θ and sinθ,
We have, 1 + cot2θ = cosec2θ
1 + `square` = cosec2θ
1 + `square` = cosec2θ
`(square + square)/square` = cosec2θ
`square/square` = cosec2θ ......[Taking root on the both side]
cosec θ = `41/9`
and sin θ = `1/("cosec" θ)`
sin θ = `1/square`
∴ sin θ = `9/41`
The value is cosec θ = `41/9`, and sin θ = `9/41`
