Advertisements
Advertisements
Question
Evaluate the following: `(3sin37°)/(cos53°) - (5"cosec"39°)/(sec51°) + (4tan23° tan37° tan67° tan53°)/(cos17° cos67° "cosec"73° "cosec"23°)`
Advertisements
Solution
`(3sin37°)/(cos53°) - (5"cosec"39°)/(sec51°) + (4tan23° tan37° tan67° tan53°)/(cos17° cos67° "cosec"73° "cosec"23°)`
= `(3sin(90° - 53°))/(cos53°) - (5"cosec"(90° - 51°))/(sec51°) + (4tan(90° - 67°) tan(90° - 53°) xx 1/(cot67°) xx 1/(cot53°))/(cos(90° - 73°) cos(90° - 23°) xx 1/(sin73°) xx 1/(sin23°)`
= `(3cos53°)/(cos53°) - (5sec51°)/(sec51°) + (4 cos67° cos53° xx 1/(cot67°) xx 1/cot53°)/(sin73° sin23° xx 1/(sin73°) xx 1/sin23°)`
= 3 - 5 + 4
= 2.
APPEARS IN
RELATED QUESTIONS
Solve for x : 2 cos 3x - 1 = 0
Solve for x : sin (x + 10°) = `(1)/(2)`
Solve for x : 2 cos (3x − 15°) = 1
If A = 30°, verify that cos2θ = `(1 - tan^2 θ)/(1 + tan^2 θ)` = cos4θ - sin4θ = 2cos2θ - 1 - 2sin2θ
If `sqrt(3)` sec 2θ = 2 and θ< 90°, find the value of
cos2 (30° + θ) + sin2 (45° - θ)
In a right triangle ABC, right angled at C, if ∠B = 60° and AB = 15units, find the remaining angles and sides.
Find the value 'x', if:
Find the value 'x', if:
Evaluate the following: `(sin62°)/(cos28°)`
Evaluate the following: cosec 54° - sec 36°
