Advertisements
Advertisements
Question
If cosθ = sin60° and θ is an acute angle find the value of 1- 2 sin2θ
Sum
Advertisements
Solution
cosθ = sin60°
⇒ cosθ = `sqrt(3)/(2)`
⇒ cosθ = cos30°
⇒ θ = 30°
Now,
1 - 2sin2θ
= 1 - 2sin230°
= `1 - 2(1/2)^2`
= `1 - 2 xx (1)/(4)`
= `1 - (1)/(2)`
= `(1)/(2)`.
shaalaa.com
Trigonometric Equation Problem and Solution
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the magnitude of angle A, if 2 sin A cos A - cos A - 2 sin A + 1 = 0
Calculate the value of A, if (sec 2A - 1) (cosec 3A - 1) = 0
Calculate the value of A, if cos 3A. (2 sin 2A - 1) = 0
Solve for x : tan2 (x - 5°) = 3
Solve for x : cos `(x/(2)+10°) = (sqrt3)/(2)`
Solve for x : cos2 30° + sin2 2x = 1
Find the value of 'x' in each of the following:
Find x and y, in each of the following figure:
Evaluate the following: `(tan42°)/(cot48°) + (cos33°)/(sin57°)`
Evaluate the following: sin35° sin45° sec55° sec45°
