Advertisements
Advertisements
प्रश्न
1 + cot2θ = ?
विकल्प
tan2θ
sec2θ
cosec2θ
cos2θ
Advertisements
उत्तर
cosec2θ
Explanation:
`cot^2θ = (cos^2θ)/(sin^2θ)`
So, `1 + cot^2θ = (sin^2θ + cos^2θ)/(sin^2θ)`
= `1/(sin^2θ)`
= cosec2θ
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities:
`(\text{i})\text{ }\frac{\sin \theta }{1-\cos \theta }=\text{cosec}\theta+\cot \theta `
The angles of depression of two ships A and B as observed from the top of a light house 60 m high are 60° and 45° respectively. If the two ships are on the opposite sides of the light house, find the distance between the two ships. Give your answer correct to the nearest whole number.
Evaluate without using trigonometric tables:
`cos^2 26^@ + cos 64^@ sin 26^@ + (tan 36^@)/(cot 54^@)`
Prove the following trigonometric identities.
`cos theta/(1 + sin theta) = (1 - sin theta)/cos theta`
Prove the following trigonometric identities.
`sqrt((1 - cos theta)/(1 + cos theta)) = cosec theta - cot theta`
Prove the following trigonometric identities.
sec A (1 − sin A) (sec A + tan A) = 1
Prove the following trigonometric identities.
`(cos theta - sin theta + 1)/(cos theta + sin theta - 1) = cosec theta + cot theta`
Prove the following trigonometric identities.
`(cot^2 A(sec A - 1))/(1 + sin A) = sec^2 A ((1 - sin A)/(1 + sec A))`
Prove that:
(sec A − tan A)2 (1 + sin A) = (1 − sin A)
`(1-cos^2theta) sec^2 theta = tan^2 theta`
Write the value of tan10° tan 20° tan 70° tan 80° .
Prove that secθ + tanθ =`(costheta)/(1-sintheta)`.
Define an identity.
What is the value of \[6 \tan^2 \theta - \frac{6}{\cos^2 \theta}\]
Without using trigonometric table , evaluate :
`(sin49^circ/sin41^circ)^2 + (cos41^circ/sin49^circ)^2`
Prove that:
`sqrt(( secθ - 1)/(secθ + 1)) + sqrt((secθ + 1)/(secθ - 1)) = 2 "cosec"θ`
Prove the following identities.
`costheta/(1 + sintheta)` = sec θ – tan θ
Which is not correct formula?
Prove that cot2θ – tan2θ = cosec2θ – sec2θ.
Statement 1: sin2θ + cos2θ = 1
Statement 2: cosec2θ + cot2θ = 1
Which of the following is valid?
