Advertisements
Advertisements
प्रश्न
Without using trigonometric table , evaluate :
`(sin49^circ/sin41^circ)^2 + (cos41^circ/sin49^circ)^2`
Advertisements
उत्तर
`(sin49^circ/sin41^circ)^2 + (cos41^circ/sin49^circ)^2`
⇒ `(sin(90^circ - 41^circ)/sin41^circ)^2 + (cos(90^circ - 49^circ)/sin49^circ)^2`
⇒ `(cos41^circ/sin41^circ)^2 + (sin49^circ/sin49^circ)^2`
⇒ 1 + 1 = 2
APPEARS IN
संबंधित प्रश्न
Prove the following identities:
(1 – tan A)2 + (1 + tan A)2 = 2 sec2A
Prove the following identities:
`(cosecA - 1)/(cosecA + 1) = (cosA/(1 + sinA))^2`
Prove the following identities:
(1 + tan A + sec A) (1 + cot A – cosec A) = 2
If x = a sin θ and y = bcos θ , write the value of`(b^2 x^2 + a^2 y^2)`
If cos A + cos2 A = 1, then sin2 A + sin4 A =
Prove the following identity :
`(1 + sinθ)/(cosecθ - cotθ) - (1 - sinθ)/(cosecθ + cotθ) = 2(1 + cotθ)`
Prove that sin2 θ + cos4 θ = cos2 θ + sin4 θ.
Prove that : `1 - (cos^2 θ)/(1 + sin θ) = sin θ`.
Prove that: sin4 θ + cos4θ = 1 - 2sin2θ cos2 θ.
Prove that: `cos^2 A + 1/(1 + cot^2 A) = 1`.
