Ara3333 Ara3333

15-01-2021
Mathematics

contestada

If sinθ = 4/5 and cosθ < 0, then tanθ =
a. -4/3
b. -3/4
c. 3/4
d. 5/4
e. 4/3

Respuesta :

ChoiSungHyun ChoiSungHyun

15-01-2021

Step-by-step explanation:

Since cot²θ + 1 = csc²θ,

we have cot²θ + 1 = [1 / (4/5)]².

=> cot²θ + 1 = 25/16

=> cot²θ = 9/16

=> cotθ = -3/4 (as sine is +ve and cosine is -ve)

=> tanθ = -4/3. (A)

Answer Link

Otras preguntas

Is there any form of figurative Language In this Poem? The sun did not shine, It was too wet to play, So I sat in my bed For day after day. So I stared at the

Aaron is a freshman in college who has not yet decided on his major. he is thinking about majoring in operations management and is exploring job opportunities i

Cream cheese costs £3.60 for 1 kg Robbie buys a pot of cream cheese for 90p How many grams of cream cheese does he buy

In physical science class Jonathan says that inertia is a property of all objects with mass and velocity. Which of the following statements would be a correct

what are the square roots of 144 over 256

Which of the following is not a structure on a prokaryote? cell wall pili defined nucleus flagellum

What is the solution to the linear system of equations? A. (2, –3) B. (–2, 4) C. (4, 2) D. (2, 4)

According to the Ethnic Diversity in 2002 map, which movement is MOST LIKELY to have significant difficulty achieving its stated goals? A) pan-Africanism B)

How do monsoons affect the farmers?

plz help me plz me I need some help