Advertisements
Advertisements
Question
Evaluate:
`2 tan57^circ/(cot33^circ) - cot70^circ/(tan20^circ) - sqrt(2) cos45^circ`
Advertisements
Solution
`2 tan57^circ/(cot33^circ) - cot70^circ/(tan20^circ) - sqrt(2) cos45^circ`
`2 tan(90^circ - 33^circ)/(cot33^circ) - cot(90^circ - 20^circ)/(tan20^circ) - sqrt(2)(1/sqrt2)`
`2 cot33^circ/(cot33^circ) - tan20^circ/(tan20^circ) - 1`
= 2 – 1 – 1
= 0
APPEARS IN
RELATED QUESTIONS
Evaluate cosec 31° − sec 59°
Write all the other trigonometric ratios of ∠A in terms of sec A.
Show that : sin 42° sec 48° + cos 42° cosec 48° = 2
Find the value of x, if sin 3x = 2 sin 30° cos 30°
Evaluate:
`sec26^@ sin64^@ + (cosec33^@)/sec57^@`
Evaluate:
`(cos75^@)/(sin15^@) + (sin12^@)/(cos78^@) - (cos18^@)/(sin72^@)`
If 0° < A < 90°; find A, if `(cos A )/(1 - sin A) + (cos A)/(1 + sin A) = 4`
Write the acute angle θ satisfying \[\cos B = \frac{3}{5}\]
If \[\tan A = \frac{5}{12}\] \[\tan A = \frac{5}{12}\] find the value of (sin A + cos A) sec A.
The value of tan 1° tan 2° tan 3°…. tan 89° is
