Advertisements
Advertisements
Question
Find the value of ( sin2 33° + sin2 57°).
Advertisements
Solution
Given:
sin2 33° + sin2 57°
= sin2 33° + [ cos (90°-57°)]2
= sin2 33° + cos2 33°
= 1
APPEARS IN
RELATED QUESTIONS
Prove the following trigonometric identities.
`tan theta - cot theta = (2 sin^2 theta - 1)/(sin theta cos theta)`
Prove the following trigonometric identities.
`(cos^2 theta)/sin theta - cosec theta + sin theta = 0`
Prove the following identities:
`cosecA - cotA = sinA/(1 + cosA)`
Prove that `(sinθ - cosθ + 1)/(sinθ + cosθ - 1) = 1/(secθ - tanθ)`
Prove the following identity :
`cosec^4A - cosec^2A = cot^4A + cot^2A`
Prove the following identity :
`sin^8θ - cos^8θ = (sin^2θ - cos^2θ)(1 - 2sin^2θcos^2θ)`
Prove that `sqrt((1 + sin A)/(1 - sin A))` = sec A + tan A.
Prove that tan2Φ + cot2Φ + 2 = sec2Φ.cosec2Φ.
Prove that : `tan"A"/(1 - cot"A") + cot"A"/(1 - tan"A") = sec"A".cosec"A" + 1`.
Prove that `(1 + sec theta - tan theta)/(1 + sec theta + tan theta) = (1 - sin theta)/cos theta`
