5л What sign may have sin x if x E r, ? 4 Select one: it is positive or zero O it is always positive O it is negative or zero may be both positive and negative Oit is always negative

Q: Q: If a cose - b sin 0 = c, Prove that a sin e + b cos e =+Va?+ b² – c² .

A:

Q: 4 6 (1+ tan² x) dx =

A: To integrate, ∫0π46(1+tan2x)dx We know the identity, 1+tan2x=sec2x

Q: sin q- cos q sin q Find for p dq

A:

Q: Les o It sin o

A: The given trigonometric function is: tanθ+cosθ1+sinθ

Q: 10. Which among the given numbers satisfies the equation sin 20 - cos 20 = 0? %3D В. 4 C. c. I 8 A.…

A: sin2θ-cos2θ=0

Q: 1 cosa dxdy COST 0. A.sin1 4 OB. sin2 c. 글sin2 O D. 응sinl

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Q: 3. tan r dr cos r 6.

A: Given: To find: The value of the integral.

Q: Express as a product.sin cos θ + sin 2 θ

A: To express sinθ cosθ+sin2θ. Solution: We know that, sin2θ=2sinθ cosθ Therefore, given expression can…

Q: sin O = 45 36 R. 27 E.

A:

Q: u the following Canchy. ef : using method of varia Gion ) 3. xソ-3x リ+6xy

A: Since you post more than one question, as per our guideline we can solve only first question for you…

Q: 17) sin? 0(2 sec? 0+3csc? e) csc? 0 - cot? 0 + sin? 0 18) 1- cos? 0 cos? 0- sin? 0 19) 20)…

A: 17) Identities to be used to simplify the above expression are, Now simplify the given expression.…

Q: у 27 X 36 45 N

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Q: 2х я 3 sinф p? sin o dp dp dO. 0 0 0

A: Given data:     The given integral is: . Evaluate the value of the given integral.

Q: 25 70 15 B

A: We know  sinθ=PerpendicularHypotenuse=OppositeHypotenuse

Q: Fill in the blanks with the correct operation + or -. sin (u + v) = sinucos v cosu sin v cos (u + v)…

A: Our Aim is to fill in the blanks with the correct operation + or -.(i) sin (u+v)=sin (u) cos (v)+cos…

Q: Ex ) Sin 30 da How

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Q: Describe 0 = by an angle of negative radian measure by determining the angle a that is coterm 20 -2n…

A: For coterminal angle 360 added or subtracted to given angle

Q: How do I find sin Q, cos Q, and tan Q with these values: p = 12 q = 35 r = 37

A: The figure of a triangle with side lengths p = 12, q = 35, r  = 37 is  To evaluate : The values of…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.