Trigonometric RatiosHard
Question
Exact value of tan 200o (cot 10o − tan 10o) is-
Options
A.1
B.2
C.0
D.None of these
Solution
tan(180 + 20 )(cos 10 /sin 10 - sin 10/cos 10)
Equating the equation :- tan(180 + 20 ) = tan 20 :
tan 20 ( cos 210 - sin 210) / sin10.cos 10
⇒ cos 2θ - sin 2θ = cos 2θ
⇒ 2sinθ.cos θ = sin 2 θ
∴ tan 20 (cos 20 / sin 20)
= 1 ans
Create a free account to view solution
View Solution FreeMore Trigonometric Ratios Questions
sin2 5o + sin2 10o + sin215o + ............... ....sin2 85o + sin2 90o =...A quadratic equation whose roots are cosec2θ and sec2θ, can be -...The value of the expression (√3 sin 75o − cos 75o) is -...If sin θ + cosec θ = 2 then the value of sin8 θ + cosec8 θ is equal to-...The minimum value of cos θ + sin θ is -...