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Sign of Trigonometric Ratios in Different Quadrants

Trigonometric...

Question

Trigonometric functions $sin θ$ and $cos θ$ are periodic with the fundamental period $2 π .$

A

True

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B

False

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Solution

The correct option is A True

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Q. Trigonometric functions of

(90^{o} + θ)

(180 - θ)

(180 + θ)

sin a x + cos a x

| cos x | + | sin x |

are periodic functions of same fundamental period if

a

cos θ = \frac{7}{25}

θ

is in fourth quadrant, then remaining trigonometric ratios are

Q. Find the values of other trigonometric function

(sin, cos, tan)

in each of the following problems
i)

sin θ = 3 / 5 : θ

I^{s t}

cos θ = - 1 / 2 : θ

I I^{s t}

sin θ = 3 / 4 : θ

I I I^{s t}

How many of following statements are true?

(1)Period of sin $θ$ is $π$ , because sin 0 and sin $π$ = 0

(2) Period of cos $θ$ is $π$

(3) Period of tan $θ$ is $π$

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Sign of Trigonometric Ratios in Different Quadrants

Standard XI Mathematics

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