Important Questions of Trigonometric Functions Mathematics | Zigya

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121.

If x = secθ - cosθ, y = secnθ - cosnθ, then x2 + 4dydx2 is equal to

  • n2(y2 - 4)

  • n2(4 - y2)

  • n2(y2 + 4)

  • None of these


122.

The two curves y = 3 and y = 5 intersect at an angle

  • tan-1log3 - log51 + log3log5

  • tan-1log3 + log51 - log3log5

  • tan-1log3 + log51 + log3log5

  • tan-1log3 - log51 - log3log5


123.

The period of sin4x + cos4x is

  • π42

  • π22

  • π4

  • π2


124.

If 3 cos x 2 sin x, then the general solution of sin2x - cos2x = 2 - sin2x is

  •  + - 1nπ2, n  Z

  • 2, n  Z

  • 4n ± 1π2, n  Z

  • (2n - 1)π, n  Z


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125.

If cosx + cos2x = 1, then the value of sin12x + 3sin10x + 3sin8x + sin6x - 1, is equal to :

  • 2

  • 1

  • - 1

  • 0


126.

The product of all values of cosα + isinα3/5 is :

  • 1

  • cosα + isinα

  • cos3α + isin3α

  • cos5α + isin5α


127.

1 + cosπ81 + cos3π81 + cos5π81 + cos7π8 is equal to

  • 12

  • 18

  • cosπ8

  • 14


128.

If 3cosθ + sinθ = 2, then the value of θ is

  •  + - 1nπ4

  • - 1nπ4 - π3

  •  + π4 - π3

  •  + - 1nπ4 - π3


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129.

If in a AABC, (s - a)(s - b) = s(s - c) then angle C is equal to

  • 90°

  • 45°

  • 30°

  • 60°


130.

The length of the shadows of a vertical pole of height h, thrown by the sun's rays at three different moments are h, 2h and 3h. The sum of the angles of elevation of the rays at these three moments is equal to

  • π2

  • π3

  • π4

  • π6


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