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प्रश्न
(1 + sin A)(1 – sin A) is equal to ______.
पर्याय
cosec2A
sin2A
sec2A
cos2A
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उत्तर
(1 + sin A)(1 – sin A) is equal to cos2A.
Explanation:
(1 + sin A)(1 – sin A) = (1)2 – (sin A)2 ......{(a + b)(a – b) = (a2 – b2)}
= 1 – sin2A
= cos2A
संबंधित प्रश्न
Prove the following trigonometric identities.
sin2 A cot2 A + cos2 A tan2 A = 1
Prove the following trigonometric identities.
`(1 - tan^2 A)/(cot^2 A -1) = tan^2 A`
If 3 sin θ + 5 cos θ = 5, prove that 5 sin θ – 3 cos θ = ± 3.
`(1-tan^2 theta)/(cot^2-1) = tan^2 theta`
`(sin theta)/((sec theta + tan theta -1)) + cos theta/((cosec theta + cot theta -1))=1`
`(cot^2 theta ( sec theta - 1))/((1+ sin theta))+ (sec^2 theta(sin theta-1))/((1+ sec theta))=0`
If `( cosec theta + cot theta ) =m and ( cosec theta - cot theta ) = n, ` show that mn = 1.
Prove the following identity :
`(1 - cos^2θ)sec^2θ = tan^2θ`
Prove the following identities.
`costheta/(1 + sintheta)` = sec θ – tan θ
Which is not correct formula?
