Advertisements
Advertisements
Question
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to ______.
Options
1
`1/sqrt(3)`
`sqrt(3)`
0
Advertisements
Solution
`sqrt(3)` cos2A + `sqrt(3)` sin2A is equal to `underline(bbsqrt(3))`.
Explanation:
`sqrt(3)` cos2A + `sqrt(3)` sin2A
`sqrt(3) ((cos^2A + sin^2A))/(cos^2A + sin^2A)` = 1
`sqrt(3) xx 1 = sqrt(3)`
APPEARS IN
RELATED QUESTIONS
In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of
- sin A cos C + cos A sin C
- cos A cos C − sin A sin C
State whether the following are true or false. Justify your answer.
sin θ = `4/3`, for some angle θ.
In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
`tan alpha = 5/12`
Evaluate the Following:
`(tan^2 60^@ + 4 cos^2 45^@ + 3 sec^2 30^@ + 5 cos^2 90)/(cosec 30^@ + sec 60^@ - cot^2 30^@)`
In ΔABC is a right triangle such that ∠C = 90° ∠A = 45°, BC = 7 units find ∠B, AB and AC
If cos A + cos² A = 1, then sin² A + sin4 A is equal to ______.
If A and (2A – 45°) are acute angles such that sin A = cos (2A – 45°), then tan A is equal to ______.
The value of the expression `[(sin^2 22^circ + sin^2 68^circ)/(cos^2 22^circ + cos^2 68^circ) + sin^2 63^circ + cos 63^circ sin 27^circ]` is ______.
If θ is an acute angle and sin θ = cos θ, find the value of tan2 θ + cot2 θ – 2.
In a right triangle PQR, right angled at Q. If tan P = `sqrt(3)`, then evaluate 2 sin P cos P.
