Advertisements
Advertisements
प्रश्न
Without using trigonometric table , evaluate :
`cos90^circ + sin30^circ tan45^circ cos^2 45^circ`
Advertisements
उत्तर
`cos90^circ + sin30^circ tan45^circ cos^2 45^circ`
⇒ `cos90^circ + sin30^circ . sin45^circ/cos45^circ .cos^2 45^circ`
⇒ `cos90^circ + sin30^circ . sin45^circ . cos45^circ`
⇒ `0 + 1/2 . 1/2 = 1/4`
APPEARS IN
संबंधित प्रश्न
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 the following trigonometric identities.
`sqrt((1 - cos theta)/(1 + cos theta)) = cosec theta - cot theta`
If sin θ + cos θ = x, prove that `sin^6 theta + cos^6 theta = (4- 3(x^2 - 1)^2)/4`
Prove the following identities:
cosec4 A (1 – cos4 A) – 2 cot2 A = 1
`(cot ^theta)/((cosec theta+1)) + ((cosec theta + 1))/cot theta = 2 sec theta`
Prove the following identity :
`1/(tanA + cotA) = sinAcosA`
Prove the following identity :
`sqrt(cosec^2q - 1) = "cosq cosecq"`
Prove the following identity :
`2(sin^6θ + cos^6θ) - 3(sin^4θ + cos^4θ) + 1 = 0`
If 5 sec θ – 12 cosec θ = 0, then find values of sin θ, sec θ.
Given that sinθ + 2cosθ = 1, then prove that 2sinθ – cosθ = 2.
