Advertisements
Advertisements
Question
If sin α + cosβ = 1 and α= 90°, find the value of 'β'.
Advertisements
Solution
sin α + cos β = 1
⇒ sin 90° + cos β = 1
⇒ 1 + cos β = 1
⇒ cos β = 0
⇒ cos β = cos 90°
⇒ β = 90°.
APPEARS IN
RELATED QUESTIONS
Solve the following equation for A, if sin 3 A = `sqrt3 /2`
State for any acute angle θ whether cos θ increases or decreases as θ increases.
State for any acute angle θ whether tan θ increases or decreases as θ decreases.
Solve the following equation for A, if `sqrt3` cot 2 A = 1
If 3 tan A - 5 cos B = `sqrt3` and B = 90°, find the value of A
Find the value of 'A', if 2 sin 2A = 1
Find the value of 'x' in each of the following:
A ladder is placed against a vertical tower. If the ladder makes an angle of 30° with the ground and reaches upto a height of 18 m of the tower; find length of the ladder.
The perimeter of a rhombus is 100 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.
If P, Q and R are the interior angles of ΔPQR, prove that `cot(("Q" + "R")/2) = tan "P"/(2)`
