Advertisements
Advertisements
प्रश्न
Write the value of `(1+ tan^2 theta ) ( 1+ sin theta ) ( 1- sin theta)`
Advertisements
उत्तर
`(1+ tan^2 theta )(1+ sin theta )(1- sintheta)`
=` sec^2 theta (1- sin^2 theta )`
=`1/ cos^2 theta xx cos^2 theta`
= 1
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities:
(i) (1 – sin2θ) sec2θ = 1
(ii) cos2θ (1 + tan2θ) = 1
Prove the following trigonometric identities.
`cos A/(1 - tan A) + sin A/(1 - cot A) = sin A + cos A`
If a cos θ + b sin θ = m and a sin θ – b cos θ = n, prove that a2 + b2 = m2 + n2
Prove the following identities:
`sqrt((1 - sinA)/(1 + sinA)) = cosA/(1 + sinA)`
Prove the following identities:
`(1 - cosA)/sinA + sinA/(1 - cosA)= 2cosecA`
If tan A = n tan B and sin A = m sin B, prove that `cos^2A = (m^2 - 1)/(n^2 - 1)`
`costheta/((1-tan theta))+sin^2theta/((cos theta-sintheta))=(cos theta+ sin theta)`
`(1+ cos theta + sin theta)/( 1+ cos theta - sin theta )= (1+ sin theta )/(cos theta)`
`(sin theta+1-cos theta)/(cos theta-1+sin theta) = (1+ sin theta)/(cos theta)`
If `cos B = 3/5 and (A + B) =- 90° ,`find the value of sin A.
What is the value of \[\frac{\tan^2 \theta - \sec^2 \theta}{\cot^2 \theta - {cosec}^2 \theta}\]
\[\frac{1 - \sin \theta}{\cos \theta}\] is equal to
(cosec θ − sin θ) (sec θ − cos θ) (tan θ + cot θ) is equal to
Prove the following identity :
tanA+cotA=secAcosecA
Prove the following identity :
(secA - cosA)(secA + cosA) = `sin^2A + tan^2A`
Prove that: `sqrt((1 - cos θ)/(1 + cos θ)) = "cosec" θ - cot θ`.
If A + B = 90°, show that sec2 A + sec2 B = sec2 A. sec2 B.
If tan θ = `13/12`, then cot θ = ?
(tan θ + 2)(2 tan θ + 1) = 5 tan θ + sec2θ.
Which of the following is true for all values of θ (0° ≤ θ ≤ 90°)?
