Advertisements
Advertisements
Question
Prove that:
tan (55° + x) = cot (35° – x)
Advertisements
Solution
tan (55° + x) = tan [90° – (35° – x)] = cot (35° – x)
APPEARS IN
RELATED QUESTIONS
Prove the following trigonometric identities.
`cos A/(1 - tan A) + sin A/(1 - cot A) = sin A + cos A`
if `a cos^3 theta + 3a cos theta sin^2 theta = m, a sin^3 theta + 3 a cos^2 theta sin theta = n`Prove that `(m + n)^(2/3) + (m - n)^(2/3)`
If `cosA/cosB = m` and `cosA/sinB = n`, show that : (m2 + n2) cos2 B = n2.
If sec A + tan A = p, show that:
`sin A = (p^2 - 1)/(p^2 + 1)`
If `sec theta = x ,"write the value of tan" theta`.
Prove the following identity :
cosecθ(1 + cosθ)(cosecθ - cotθ) = 1
Prove the following identity :
`[1/((sec^2θ - cos^2θ)) + 1/((cosec^2θ - sin^2θ))](sin^2θcos^2θ) = (1 - sin^2θcos^2θ)/(2 + sin^2θcos^2θ)`
Prove that: `1/(sec θ - tan θ) = sec θ + tan θ`.
Prove the following identities.
`sqrt((1 + sin theta)/(1 - sin theta)` = sec θ + tan θ
If cos 9α = sin α and 9α < 90°, then the value of tan 5α is ______.
