Advertisements
Advertisements
प्रश्न
Write the value of `(sin^2 theta 1/(1+tan^2 theta))`.
Advertisements
उत्तर
`(sin^2 theta + 1/(1+ tan^2 theta ))`
= `( sin^2 theta + 1/(sec^2 theta))`
=`( sin^2 theta + cos^2 theta)`
=1
APPEARS IN
संबंधित प्रश्न
9 sec2 A − 9 tan2 A = ______.
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.
Prove that `cosA/(1+sinA) + tan A = secA`
Without using trigonometric tables evaluate
`(sin 35^@ cos 55^@ + cos 35^@ sin 55^@)/(cosec^2 10^@ - tan^2 80^@)`
Prove the following trigonometric identities.
`(tan A + tan B)/(cot A + cot B) = tan A tan B`
Prove the following identities:
(sec A – cos A) (sec A + cos A) = sin2 A + tan2 A
`costheta/((1-tan theta))+sin^2theta/((cos theta-sintheta))=(cos theta+ sin theta)`
`(sin theta+1-cos theta)/(cos theta-1+sin theta) = (1+ sin theta)/(cos theta)`
If `sec theta + tan theta = x," find the value of " sec theta`
What is the value of \[6 \tan^2 \theta - \frac{6}{\cos^2 \theta}\]
cos4 A − sin4 A is equal to ______.
9 sec2 A − 9 tan2 A is equal to
Prove the following identity :
`(1 - cos^2θ)sec^2θ = tan^2θ`
Prove the following identity :
tanA+cotA=secAcosecA
Prove the following identity :
`sinA/(1 + cosA) + (1 + cosA)/sinA = 2cosecA`
Prove that `( 1 + sin θ)/(1 - sin θ) = 1 + 2 tan θ/cos θ + 2 tan^2 θ` .
Prove that: `1/(cosec"A" - cot"A") - 1/sin"A" = 1/sin"A" - 1/(cosec"A" + cot"A")`
Prove the following identities.
`sqrt((1 + sin theta)/(1 - sin theta)` = sec θ + tan θ
Prove that `(1 + sec "A")/"sec A" = (sin^2"A")/(1 - cos"A")`
Given that sin θ = `a/b`, then cos θ is equal to ______.
