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
Find the value of x, if sin x = sin 60° cos 30° + cos 60° sin 30°
Find the value of angle A, where 0° ≤ A ≤ 90°.
cos (90° – A) . sec 77° = 1
Evaluate:
`(sin35^circ cos55^circ + cos35^circ sin55^circ)/(cosec^2 10^circ - tan^2 80^circ)`
Use tables to find the acute angle θ, if the value of cos θ is 0.9574
Prove that:
sin (28° + A) = cos (62° – A)
Find A, if 0° ≤ A ≤ 90° and 4 sin2 A – 3 = 0
If A and B are complementary angles, then
If angles A, B, C to a ∆ABC from an increasing AP, then sin B =
Prove the following.
tan4θ + tan2θ = sec4θ - sec2θ
Prove that :
tan5° tan25° tan30° tan65° tan85° = \[\frac{1}{\sqrt{3}}\]
