Advertisements
Advertisements
प्रश्न
`(cos^2 θ)/(sin^2 θ) - 1/(sin^2 θ)`, in simplified form, is ______.
पर्याय
tan2 θ
sec2 θ
1
–1
Advertisements
उत्तर
`(cos^2 θ)/(sin^2 θ) - 1/(sin^2 θ)`, in simplified form, is –1.
Explanation:
`(cos^2 θ)/(sin^2 θ) - 1/(sin^2 θ)`
= `(cos^2 θ - 1)/(sin^2 θ)`
= `(-sin^2 θ)/(sin^2 θ)` ...(∵ sin2θ = 1 – cos2θ)
= –1
संबंधित प्रश्न
Prove the following trigonometric identities. `(1 - cos A)/(1 + cos A) = (cot A - cosec A)^2`
Prove the following trigonometric identities.
`(cosec A)/(cosec A - 1) + (cosec A)/(cosec A = 1) = 2 sec^2 A`
If cos θ + cot θ = m and cosec θ – cot θ = n, prove that mn = 1
Prove the following identities:
`1 - cos^2A/(1 + sinA) = sinA`
Prove the following identities:
`cot^2A((secA - 1)/(1 + sinA)) + sec^2A((sinA - 1)/(1 + secA)) = 0`
If `(x/a sin a - y/b cos theta) = 1 and (x/a cos theta + y/b sin theta ) =1, " prove that "(x^2/a^2 + y^2/b^2 ) =2`
The value of sin ( \[{45}^° + \theta) - \cos ( {45}^°- \theta)\] is equal to
Prove the following identity :
`(cos^3A + sin^3A)/(cosA + sinA) + (cos^3A - sin^3A)/(cosA - sinA) = 2`
If sec θ = `25/7`, then find the value of tan θ.
Prove that: `cos^2 A + 1/(1 + cot^2 A) = 1`.
