Prove that tan α√(1 - sin2α) = sinα – InterviewSolution

1.

Prove that tan α√(1 - sin2α) = sinα

Answer»

LHS : tanα √(1 - sin2α) = tanα √cos²α

= sinα/cosα x cosα = sinα = RHS

Discussion

No Comment Found

Related InterviewSolutions

Name the points :(i) in the interior of the angle PQR,(ii) in the exterior of the angle PQR.
The measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Find x.
In the given figure, PQR is a straight line. Find x. Then complete the following:(i) ∠AQB = ……..(ii) ∠BQP = ……..(iii) ∠AQR = …….
In the given diagram, ABC is a straight line.(i) If x = 53°, find y.(ii) If y =1 1/2 right angles ; find x.
Explain what do you understand by :(i) Adjacent angles ?(ii) Complementary angles ?(iii) Supplementary angles ?
Two complementary angles are in the ratio 7 : 8. Find the angles.
The measures of two complementary angles are (2x – 7)° and (x + 4)°. Find x.
For an angle x°, find :(i) the complementary angle(ii) the supplementary angle(iii) the value of x° if its supplementary angle is three times its complementary angle.
In the given figure; AB, CD and EF are straight lines. Name the pair of angles forming :(i) straight line angles.(ii) vertically opposite angles.
Example for obtuse angle.(1) 90°(2) 53°(3) 178°(4) 180°