Advertisements
Advertisements
Question
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: tan77° - cot63° + sin57°
Advertisements
Solution
tan77° - cot63° + sin57°
= tan(90° - 13°) - cot(90° - 27°) + sin(90° - 33°)
= cot13° - tan27° + cos33°.
APPEARS IN
RELATED QUESTIONS
Find the magnitude of angle A, if 2 sin A cos A - cos A - 2 sin A + 1 = 0
Solve the following equation for A, if 2 sin A = 1
Calculate the value of A, if (cosec 2A - 2) (cot 3A - 1) = 0
Solve for x : 2 cos (3x − 15°) = 1
Evaluate the following: `((sin3θ - 2sin4θ))/((cos3θ - 2cos4θ))` when 2θ = 30°
Find the value of: `sqrt((1 - sin^2 60°)/(1 + sin^2 60°)` If 3 tan2θ - 1 = 0, find the value
a. cosθ
b. sinθ
Find the value of 'x' in each of the following:
Evaluate the following: `(2sin28°)/(cos62°) + (3cot49°)/(tan41°)`
If P, Q and R are the interior angles of ΔPQR, prove that `cot(("Q" + "R")/2) = tan "P"/(2)`
Prove the following: sin230° + cos230° = `(1)/(2)sec60°`
