Advertisements
Advertisements
प्रश्न
Write the value of `cosec^2 theta (1+ cos theta ) (1- cos theta).`
Advertisements
उत्तर
`cosec^2 theta (1+ cos theta )(1- cos theta)`
= `cosec^2 theta (1- cos^2 theta)`
=`1/ sin^2 theta xx sin^2 theta `
= 1
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities:
`(\text{i})\text{ }\frac{\sin \theta }{1-\cos \theta }=\text{cosec}\theta+\cot \theta `
Evaluate sin25° cos65° + cos25° sin65°
Prove the following trigonometric identity.
`cos^2 A + 1/(1 + cot^2 A) = 1`
if `x/a cos theta + y/b sin theta = 1` and `x/a sin theta - y/b cos theta = 1` prove that `x^2/a^2 + y^2/b^2 = 2`
Show that none of the following is an identity:
`sin^2 theta + sin theta =2`
If a cos `theta + b sin theta = m and a sin theta - b cos theta = n , "prove that "( m^2 + n^2 ) = ( a^2 + b^2 )`
What is the value of 9cot2 θ − 9cosec2 θ?
Prove the following identity:
tan2A − sin2A = tan2A · sin2A
Prove the following identity :
`(cosecA - sinA)(secA - cosA)(tanA + cotA) = 1`
Find the value of sin 30° + cos 60°.
Prove that: (1+cot A - cosecA)(1 + tan A+ secA) =2.
Prove that `sqrt((1 + sin θ)/(1 - sin θ))` = sec θ + tan θ.
If `sqrt(3)` sin θ – cos θ = θ, then show that tan 3θ = `(3tan theta - tan^3 theta)/(1 - 3 tan^2 theta)`
a cot θ + b cosec θ = p and b cot θ + a cosec θ = q then p2 – q2 is equal to
Prove that `(cos^2theta)/(sintheta) + sintheta` = cosec θ
Prove that `costheta/(1 + sintheta) = (1 - sintheta)/(costheta)`
Prove that `(sintheta + "cosec" theta)/sin theta` = 2 + cot2θ
Prove that `"cot A"/(1 - tan "A") + "tan A"/(1 - cot"A")` = 1 + tan A + cot A = sec A . cosec A + 1
If 4 tanβ = 3, then `(4sinbeta-3cosbeta)/(4sinbeta+3cosbeta)=` ______.
Show that `(cos^2(45^circ + θ) + cos^2(45^circ - θ))/(tan(60^circ + θ) tan(30^circ - θ)) = 1`
